Pith Number

pith:W73R7JYN

pith:2015:W73R7JYNKEWTJEHW7W7PAQNG6U

not attested not anchored not stored refs pending

General proof of the entropy principle for self-gravitating fluid in f(R) Gravity

Jiliang Jing, Minyong Guo, Xiongjun Fang

arxiv:1512.05454 v2 · 2015-12-17 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W73R7JYNKEWTJEHW7W7PAQNG6U}

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	2026-05-18T01:03:36.728488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7f71fa70d512d3490f6fdbef041a6f50fb7915a44c14d7c67603e115dac37cf

Aliases

arxiv: 1512.05454 · arxiv_version: 1512.05454v2 · doi: 10.48550/arxiv.1512.05454 · pith_short_12: W73R7JYNKEWT · pith_short_16: W73R7JYNKEWTJEHW · pith_short_8: W73R7JYN

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/W73R7JYNKEWTJEHW7W7PAQNG6U \
  | 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: b7f71fa70d512d3490f6fdbef041a6f50fb7915a44c14d7c67603e115dac37cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd0e9efd14b918cfb6e813118822ab4b26375bbd60cd1671429655586d2819cd",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-17T03:26:18Z",
    "title_canon_sha256": "9f339bc511cb376a4688589831d2424c4acf9c5e3e51cc4d60d2a2fb026df279"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05454",
    "kind": "arxiv",
    "version": 2
  }
}