Pith Number

pith:MELAILZJ

pith:2017:MELAILZJ7LMW73DB6SWZVIE4ET

not attested not anchored not stored refs pending

The limit behavior of the evolution of Tsallis entropy in self-gravitating systems

Faku Liang, Jiulin Du, Yahui Zheng

arxiv:1710.03567 v1 · 2017-09-22 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MELAILZJ7LMW73DB6SWZVIE4ET}

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	2026-05-18T00:33:11.445203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6116042f29fad96fec61f4ad9aa09c24c3c73a8f2ebf6b8fea19eafb3edc02ef

Aliases

arxiv: 1710.03567 · arxiv_version: 1710.03567v1 · doi: 10.48550/arxiv.1710.03567 · pith_short_12: MELAILZJ7LMW · pith_short_16: MELAILZJ7LMW73DB · pith_short_8: MELAILZJ

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/MELAILZJ7LMW73DB6SWZVIE4ET \
  | 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: 6116042f29fad96fec61f4ad9aa09c24c3c73a8f2ebf6b8fea19eafb3edc02ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bbb10eb0937c9c2aeb7b3309d8666c334ac78d6781d0459743360d9ccde17cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-09-22T03:42:14Z",
    "title_canon_sha256": "16b77a717ffb1a9f39ca9ff84f350142d15dd9dfc1f7335125c93027c5eeafc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03567",
    "kind": "arxiv",
    "version": 1
  }
}