Pith Number

pith:A2IJGUHD

pith:2003:A2IJGUHDJMGFG6DZLPJUW4HLIE

not attested not anchored not stored refs pending

Period three actions on lens spaces

Joseph Maher

arxiv:math/0311009 v2 · 2003-11-02 · 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{A2IJGUHDJMGFG6DZLPJUW4HLIE}

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	2026-05-18T02:41:32.584903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06909350e34b0c5378795bd34b70eb4111aeb979e5e22c23323d70e21d7fff82

Aliases

arxiv: math/0311009 · arxiv_version: math/0311009v2 · doi: 10.48550/arxiv.math/0311009 · pith_short_12: A2IJGUHDJMGF · pith_short_16: A2IJGUHDJMGFG6DZ · pith_short_8: A2IJGUHD

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/A2IJGUHDJMGFG6DZLPJUW4HLIE \
  | 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: 06909350e34b0c5378795bd34b70eb4111aeb979e5e22c23323d70e21d7fff82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48bc02cdcd698a581f2c2a7b5bbeb2bd3074e35cd544971ffd8e5ff584354c67",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-11-02T20:06:51Z",
    "title_canon_sha256": "e1f8cd3331742f66c6515fc106dc5f3f007b89aa933d1afbbebc254b6b6c8ac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311009",
    "kind": "arxiv",
    "version": 2
  }
}