Pith Number

pith:7SMDGBT4

pith:2015:7SMDGBT4XREAN4MZBJIVSQAXP3

not attested not anchored not stored refs pending

Holographic Proof of the Quantum Null Energy Condition

Jason Koeller, Stefan Leichenauer

arxiv:1512.06109 v2 · 2015-12-18 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SMDGBT4XREAN4MZBJIVSQAXP3}

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

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

2 papers in Pith

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	2026-05-18T01:10:51.688035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc9833067cbc4806f1990a515940177ed4d9ceeb5039750add34595fd312bedb

Aliases

arxiv: 1512.06109 · arxiv_version: 1512.06109v2 · doi: 10.48550/arxiv.1512.06109 · pith_short_12: 7SMDGBT4XREA · pith_short_16: 7SMDGBT4XREAN4MZ · pith_short_8: 7SMDGBT4

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/7SMDGBT4XREAN4MZBJIVSQAXP3 \
  | 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: fc9833067cbc4806f1990a515940177ed4d9ceeb5039750add34595fd312bedb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde3d31b77dd0fbc57747418775eb887818e954dfe72f690e261ba0476dc4696",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-18T20:48:00Z",
    "title_canon_sha256": "c820a067028b1f4c74c9c974205118368b3d5e7e014a0476daf472aaa9a961e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06109",
    "kind": "arxiv",
    "version": 2
  }
}