Pith Number

pith:2TD4TL5H

pith:2013:2TD4TL5HF3Z2GZFBARDUAK2G5U

not attested not anchored not stored refs pending

Oscillating universe in massive gravity

Hongwei Yu, Kaituo Zhang, Puxun Wu

arxiv:1302.6407 v2 · 2013-02-26 · 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{2TD4TL5HF3Z2GZFBARDUAK2G5U}

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	2026-05-18T03:30:25.159587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c7c9afa72ef3a364a10447402b46ed34e6c927950244c2af3ba52a168b465d

Aliases

arxiv: 1302.6407 · arxiv_version: 1302.6407v2 · doi: 10.48550/arxiv.1302.6407 · pith_short_12: 2TD4TL5HF3Z2 · pith_short_16: 2TD4TL5HF3Z2GZFB · pith_short_8: 2TD4TL5H

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/2TD4TL5HF3Z2GZFBARDUAK2G5U \
  | 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: d4c7c9afa72ef3a364a10447402b46ed34e6c927950244c2af3ba52a168b465d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6707ac640d96eb3d8a2dfc95866cf5f5a343621e2b486df4b2c93502e804db7e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-02-26T11:52:46Z",
    "title_canon_sha256": "f78848a6d59c03a3c14de0bb319dd7ee0a41a2c7fa35a7392863dfe501fabf62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6407",
    "kind": "arxiv",
    "version": 2
  }
}