Pith Number

pith:7AJ56ZUF

pith:2015:7AJ56ZUFVX5KOCXNFMUCGL4HUP

not attested not anchored not stored refs pending

Cosmological evolution of generalized non-local gravity

Bo-Hai Chen, Shuang Shu, Song Li, Xue Zhang, Ya-Bo Wu, Yu-Chen Liu, Yun-Tian Chai

arxiv:1511.05238 v3 · 2015-11-17 · 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{7AJ56ZUFVX5KOCXNFMUCGL4HUP}

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	2026-05-18T00:57:31.808418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f813df6685adfaa70aed2b28232f87a3f4f0cbe8ca03aa50c57c1b998c16381e

Aliases

arxiv: 1511.05238 · arxiv_version: 1511.05238v3 · doi: 10.48550/arxiv.1511.05238 · pith_short_12: 7AJ56ZUFVX5K · pith_short_16: 7AJ56ZUFVX5KOCXN · pith_short_8: 7AJ56ZUF

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/7AJ56ZUFVX5KOCXNFMUCGL4HUP \
  | 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: f813df6685adfaa70aed2b28232f87a3f4f0cbe8ca03aa50c57c1b998c16381e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1977db8475d6a9c2eb00893fc228740096f5562670704db7775a1b601a15156e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-17T01:04:00Z",
    "title_canon_sha256": "d1a80bc142bad6b696add9bd43b63f46452163e18adff6ccd79e6217c0e2323a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05238",
    "kind": "arxiv",
    "version": 3
  }
}