Pith Number

pith:X2TMRJNQ

pith:2004:X2TMRJNQEQVQFBIRKRBDZ7U5EC

not attested not anchored not stored refs pending

Tetra and Didi, the cosmic spectral twins

Juan Pablo Rossetti, Peter G Doyle

arxiv:math/0407422 v3 · 2004-07-25 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2TMRJNQEQVQFBIRKRBDZ7U5EC}

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	2026-05-18T02:38:00.008813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea6c8a5b0242b02851154423cfe9d20b96c8670fee885a7276a589b276a3927

Aliases

arxiv: math/0407422 · arxiv_version: math/0407422v3 · doi: 10.48550/arxiv.math/0407422 · pith_short_12: X2TMRJNQEQVQ · pith_short_16: X2TMRJNQEQVQFBIR · pith_short_8: X2TMRJNQ

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/X2TMRJNQEQVQFBIRKRBDZ7U5EC \
  | 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: bea6c8a5b0242b02851154423cfe9d20b96c8670fee885a7276a589b276a3927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a109be9a999a28fc9a52811a067e74bcf83b079e84d28c8163c2e384a2f08630",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-07-25T01:13:53Z",
    "title_canon_sha256": "69229c3ced70431203b8a6d7874b352ed096acccd8fa0e9f7ed050198d949b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407422",
    "kind": "arxiv",
    "version": 3
  }
}