Pith Number

pith:A3Y63VFT

pith:2009:A3Y63VFTQMBYTOZPHOTK62Y3SB

not attested not anchored not stored refs pending

Explicit Formulas for 2-Characters

Ang\'elica Osorno

arxiv:0904.4414 v1 · 2009-04-28 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3Y63VFTQMBYTOZPHOTK62Y3SB}

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.

Cited by

1 paper in Pith

Unitary Categorical Symmetries

Receipt and verification

First computed	2026-05-18T03:14:50.540271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f1edd4b3830389bb2f3ba6af6b1b90703a3bbe2b4e11e6b2375b9de7ff3ae8

Aliases

arxiv: 0904.4414 · arxiv_version: 0904.4414v1 · doi: 10.48550/arxiv.0904.4414 · pith_short_12: A3Y63VFTQMBY · pith_short_16: A3Y63VFTQMBYTOZP · pith_short_8: A3Y63VFT

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/A3Y63VFTQMBYTOZPHOTK62Y3SB \
  | 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: 06f1edd4b3830389bb2f3ba6af6b1b90703a3bbe2b4e11e6b2375b9de7ff3ae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf20f67e204427bc7c33f60d38c1207765d754c2afe9eab2d2584157a36dfdc",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-04-28T14:40:09Z",
    "title_canon_sha256": "5c770d973d00c2c9f7df761b3950bb35efbd52a06ed34404669196e9570b1443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4414",
    "kind": "arxiv",
    "version": 1
  }
}