Pith Number

pith:U76ZFY3G

pith:2013:U76ZFY3GPTRNM6CRMF356KV5Z2

not attested not anchored not stored refs pending

Exotic coactions

John Quigg, Magnus B. Landstad, S. Kaliszewski

arxiv:1305.5489 v2 · 2013-05-23 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U76ZFY3GPTRNM6CRMF356KV5Z2}

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	2026-05-18T01:24:14.996413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7fd92e3667ce2d678516177df2abdce92bd455f58dceb0e530bc51e4fbf975c

Aliases

arxiv: 1305.5489 · arxiv_version: 1305.5489v2 · doi: 10.48550/arxiv.1305.5489 · pith_short_12: U76ZFY3GPTRN · pith_short_16: U76ZFY3GPTRNM6CR · pith_short_8: U76ZFY3G

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/U76ZFY3GPTRNM6CRMF356KV5Z2 \
  | 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: a7fd92e3667ce2d678516177df2abdce92bd455f58dceb0e530bc51e4fbf975c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c274178b92aeb139175196a84000efeb4ef46b58f641e5134fba966b835ccde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-05-23T17:23:47Z",
    "title_canon_sha256": "29afd4c3f031f5fa94588be8df39aa4cfb1aa1ead4af83371e8b8cc28d9024c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5489",
    "kind": "arxiv",
    "version": 2
  }
}