Pith Number

pith:RLL6JZGN

pith:2018:RLL6JZGN4E6VF3IPKSO5PJBGBY

not attested not anchored not stored refs pending

Displacement convexity of Boltzmann's entropy characterizes the strong energy condition from general relativity

Robert J McCann

arxiv:1808.01536 v3 · 2018-08-04 · math-ph · math.DG · math.MG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLL6JZGN4E6VF3IPKSO5PJBGBY}

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

1 paper in Pith

The equivalence between timelike Ricci curvature and the timelike Brunn Minkowski inequality on synthetic Lorentzian spaces

Receipt and verification

First computed	2026-07-05T06:53:26.940125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ad7e4e4cde13d52ed0f549dd7a4260e13e27d067f6c7dee59c84acb3cdcd11e

Aliases

arxiv: 1808.01536 · arxiv_version: 1808.01536v3 · doi: 10.48550/arxiv.1808.01536 · pith_short_12: RLL6JZGN4E6V · pith_short_16: RLL6JZGN4E6VF3IP · pith_short_8: RLL6JZGN

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/RLL6JZGN4E6VF3IPKSO5PJBGBY \
  | 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: 8ad7e4e4cde13d52ed0f549dd7a4260e13e27d067f6c7dee59c84acb3cdcd11e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8339f66cf4cac9e21299edd7886239a3b829d4d7478890f53cee0fcac8a281db",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-04T21:30:11Z",
    "title_canon_sha256": "b5ffa29e58a0ad781e2eda54f8847be427f4163cc1ac707319d4c4765cfd7667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01536",
    "kind": "arxiv",
    "version": 3
  }
}