Pith Number

pith:CWAPL5JO

pith:2015:CWAPL5JOLBLHJLTJCRBQQXQ7IN

not attested not anchored not stored refs pending

Two Roads to the Null Energy Condition

Maulik Parikh

arxiv:1512.03448 v1 · 2015-12-10 · 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{CWAPL5JOLBLHJLTJCRBQQXQ7IN}

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.

Receipt and verification

First computed	2026-05-18T01:24:32.418138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1580f5f52e585674ae691443085e1f436cf8a8971bb2e84fd3cff051ed15a30d

Aliases

arxiv: 1512.03448 · arxiv_version: 1512.03448v1 · doi: 10.48550/arxiv.1512.03448 · pith_short_12: CWAPL5JOLBLH · pith_short_16: CWAPL5JOLBLHJLTJ · pith_short_8: CWAPL5JO

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/CWAPL5JOLBLHJLTJCRBQQXQ7IN \
  | 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: 1580f5f52e585674ae691443085e1f436cf8a8971bb2e84fd3cff051ed15a30d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d65cfaf3588e4fa2d91166b09ffd51159051cd1bd6be3d82098ef5d3e37e04",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-10T21:26:35Z",
    "title_canon_sha256": "c5e538608b9e40fe02bad6c45f7b49bfdb013f8bdef59dfb033e5d01aef6d571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03448",
    "kind": "arxiv",
    "version": 1
  }
}