Pith Number

pith:TU2FBC7D

pith:2015:TU2FBC7DOANTRKL2ZYKRJOUK6X

not attested not anchored not stored refs pending

Proof of the Quantum Null Energy Condition

Aron C. Wall, Jason Koeller, Raphael Bousso, Stefan Leichenauer, Zachary Fisher

arxiv:1509.02542 v2 · 2015-09-08 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TU2FBC7DOANTRKL2ZYKRJOUK6X}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

4 papers in Pith

Entropy Variations and Light Ray Operators from Replica Defects

Modave lectures on energy conditions in quantum field theory and semi-classical gravity

A general proof of integer R\'enyi QNEC

Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory

Receipt and verification

First computed	2026-05-18T01:22:36.407225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d34508be3701b38a97ace1514ba8af5c54ed120f34679a410a2f8cdbacfc8f4

Aliases

arxiv: 1509.02542 · arxiv_version: 1509.02542v2 · doi: 10.48550/arxiv.1509.02542 · pith_short_12: TU2FBC7DOANT · pith_short_16: TU2FBC7DOANTRKL2 · pith_short_8: TU2FBC7D

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TU2FBC7DOANTRKL2ZYKRJOUK6X \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9d34508be3701b38a97ace1514ba8af5c54ed120f34679a410a2f8cdbacfc8f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b95e193cb084a6300d048b39522b60732a1b132a002faab1db84e6a74e7a65d3",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-09-08T20:17:24Z",
    "title_canon_sha256": "4000a26cfa4ac8cad9a404b20e1762fe2e93ff593f087f0791e8fac31b737cd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02542",
    "kind": "arxiv",
    "version": 2
  }
}