Pith Number

pith:IGCLYDHD

pith:2015:IGCLYDHDFVGRJKP6PZGHDSPH5Q

not attested not anchored not stored refs pending

Invariants and TQFT's for cut cellular surfaces from finite groups

Diogo Bragan\c{c}a, Roger Picken

arxiv:1512.08263 v2 · 2015-12-22 · 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{IGCLYDHDFVGRJKP6PZGHDSPH5Q}

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	2026-05-18T00:00:02.829495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4184bc0ce32d4d14a9fe7e4c71c9e7ec0a9589970ac1436f766d03d49ca94c9a

Aliases

arxiv: 1512.08263 · arxiv_version: 1512.08263v2 · doi: 10.48550/arxiv.1512.08263 · pith_short_12: IGCLYDHDFVGR · pith_short_16: IGCLYDHDFVGRJKP6 · pith_short_8: IGCLYDHD

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/IGCLYDHDFVGRJKP6PZGHDSPH5Q \
  | 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: 4184bc0ce32d4d14a9fe7e4c71c9e7ec0a9589970ac1436f766d03d49ca94c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1897b41387ecad8bc3a9db9d9b2acf406a598541fca2be99e0269a55db5880f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-22T21:08:33Z",
    "title_canon_sha256": "83b2cf7bfed49fcb242a24910df58155985c8c35e7b1079ca3f533d45063a10d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08263",
    "kind": "arxiv",
    "version": 2
  }
}