Pith Number

pith:TLY46R44

pith:1996:TLY46R44U4BDPZFDCSDJNRUS5D

not attested not anchored not stored refs pending

Groupoids: unifying internal and external symmetry

Alan Weinstein

arxiv:math/9602220 v1 · 1996-02-04 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLY46R44U4BDPZFDCSDJNRUS5D}

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	2026-07-04T15:08:58.663670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9af1cf479ca70237e4a3148696c692e8e7551c75cb93d197df17b7b48e0215fe

Aliases

arxiv: math/9602220 · arxiv_version: math/9602220v1 · doi: 10.48550/arxiv.math/9602220 · pith_short_12: TLY46R44U4BD · pith_short_16: TLY46R44U4BDPZFD · pith_short_8: TLY46R44

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/TLY46R44U4BDPZFDCSDJNRUS5D \
  | 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: 9af1cf479ca70237e4a3148696c692e8e7551c75cb93d197df17b7b48e0215fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d1ad7c4e6fb5ba397ac698404a596b5b97e544703a263beee7797e424ebd72",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "1996-02-04T00:00:00Z",
    "title_canon_sha256": "3f8a7fcfc58793210d28f6662d1b38bc76d38f274c3d190ceceb7071f98afa13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9602220",
    "kind": "arxiv",
    "version": 1
  }
}