Pith Number

pith:7YNOKWKT

pith:2014:7YNOKWKTC3IEVOSM4XBXC2IL34

not attested not anchored not stored refs pending

3-manifolds Modulo Surgery Triangles

Lucas Culler

arxiv:1410.3755 v2 · 2014-10-14 · 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{7YNOKWKTC3IEVOSM4XBXC2IL34}

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	2026-05-18T02:39:00.625335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe1ae5595316d04aba4ce5c371690bdf22a5c926146da2dc4107b46b5d279dbb

Aliases

arxiv: 1410.3755 · arxiv_version: 1410.3755v2 · doi: 10.48550/arxiv.1410.3755 · pith_short_12: 7YNOKWKTC3IE · pith_short_16: 7YNOKWKTC3IEVOSM · pith_short_8: 7YNOKWKT

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/7YNOKWKTC3IEVOSM4XBXC2IL34 \
  | 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: fe1ae5595316d04aba4ce5c371690bdf22a5c926146da2dc4107b46b5d279dbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcaa0eac791e82fc5cbbc792ca420a8ef23e52a781c61a7cd795c5d671536c41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-14T16:23:18Z",
    "title_canon_sha256": "cb52b9e1ff0e96bd4bfbf75d71c423ad5d9d1492ef9ba2efc42bea6c455a9653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3755",
    "kind": "arxiv",
    "version": 2
  }
}