Pith Number

pith:IJHG3SWS

pith:2022:IJHG3SWSKGTACA5HMA4YEOU5SZ

not attested not anchored not stored refs pending

Improved proof-by-contraction method and relative homologous entropy inequalities

Chuan-Shi Dong, Dong-Hui Du, Fu-Wen Shu, Nan Li

arxiv:2204.03192 v2 · 2022-04-07 · hep-th · gr-qc · math-ph · 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{IJHG3SWSKGTACA5HMA4YEOU5SZ}

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	2026-07-05T04:40:10.330491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

424e6dcad251a60103a76039823a9d9640d910d3209c2f991052076336e7c216

Aliases

arxiv: 2204.03192 · arxiv_version: 2204.03192v2 · doi: 10.48550/arxiv.2204.03192 · pith_short_12: IJHG3SWSKGTA · pith_short_16: IJHG3SWSKGTACA5H · pith_short_8: IJHG3SWS

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/IJHG3SWSKGTACA5HMA4YEOU5SZ \
  | 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: 424e6dcad251a60103a76039823a9d9640d910d3209c2f991052076336e7c216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b91e4a9c87d2e04dfb309b124d4ad462111fa934f1315b2644bdd24bb3bb389",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-04-07T03:50:54Z",
    "title_canon_sha256": "0627309dc90384f93fb49cd4beed0647fec32ed8a3721e708f3b142980e8017c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.03192",
    "kind": "arxiv",
    "version": 2
  }
}