Pith Number

pith:7F24HVFE

pith:2016:7F24HVFEAKDZNHNBQUR72JATRF

not attested not anchored not stored refs pending

Link invariants from finite categorical groups

Joao Faria Martins, Roger Picken

arxiv:1612.03501 v1 · 2016-12-11 · 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{7F24HVFEAKDZNHNBQUR72JATRF}

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	2026-05-18T00:44:09.151725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f975c3d4a40287969da18523fd2413897af7bdb8805ae7ec0cb3d3438d0cbc18

Aliases

arxiv: 1612.03501 · arxiv_version: 1612.03501v1 · doi: 10.48550/arxiv.1612.03501 · pith_short_12: 7F24HVFEAKDZ · pith_short_16: 7F24HVFEAKDZNHNB · pith_short_8: 7F24HVFE

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/7F24HVFEAKDZNHNBQUR72JATRF \
  | 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: f975c3d4a40287969da18523fd2413897af7bdb8805ae7ec0cb3d3438d0cbc18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b5e3096a08ffe2fd2b65d189163f90bc763d562c9991b5524abe056d55acdc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-11T23:55:08Z",
    "title_canon_sha256": "3209d6230078e98ecf58e71339ba9f1a6bd7c43966c288d88968446641e87aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03501",
    "kind": "arxiv",
    "version": 1
  }
}