Pith Number

pith:76PZFJYM

pith:2011:76PZFJYMIYAIW2P36U3T4VHSGY

not attested not anchored not stored refs pending

Tides in colliding galaxies

Florent Renaud, Pierre-Alain Duc

arxiv:1112.1922 v1 · 2011-12-08 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76PZFJYMIYAIW2P36U3T4VHSGY}

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	2026-05-18T01:59:14.879020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff9f92a70c46008b69fbf5373e54f2361960f235a5ca1ed5fa8fb4b10c9ff8ad

Aliases

arxiv: 1112.1922 · arxiv_version: 1112.1922v1 · doi: 10.48550/arxiv.1112.1922 · pith_short_12: 76PZFJYMIYAI · pith_short_16: 76PZFJYMIYAIW2P3 · pith_short_8: 76PZFJYM

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/76PZFJYMIYAIW2P36U3T4VHSGY \
  | 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: ff9f92a70c46008b69fbf5373e54f2361960f235a5ca1ed5fa8fb4b10c9ff8ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a29ef2080a71c97dd7f12defb667660cf0a1d2bc1f3f8c4f39fbbca99c95f0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-12-08T19:36:29Z",
    "title_canon_sha256": "d2f1350a9a53b8822039a39e059d3b037cca2a386bb0c087ee046dbbe3758c66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1922",
    "kind": "arxiv",
    "version": 1
  }
}