Pith Number

pith:AXYP3Q2V

pith:2017:AXYP3Q2V4T4ZG4U6O5YTOCKNED

not attested not anchored not stored refs pending

Coaction functors, II

John Quigg, Magnus B. Landstad, S. Kaliszewski

arxiv:1701.02007 v2 · 2017-01-08 · 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{AXYP3Q2V4T4ZG4U6O5YTOCKNED}

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	2026-05-18T00:20:56.798035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05f0fdc355e4f993729e777137094d20db3e6e057902f9b4338edda3068ac449

Aliases

arxiv: 1701.02007 · arxiv_version: 1701.02007v2 · doi: 10.48550/arxiv.1701.02007 · pith_short_12: AXYP3Q2V4T4Z · pith_short_16: AXYP3Q2V4T4ZG4U6 · pith_short_8: AXYP3Q2V

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/AXYP3Q2V4T4ZG4U6O5YTOCKNED \
  | 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: 05f0fdc355e4f993729e777137094d20db3e6e057902f9b4338edda3068ac449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe9ca6916a76bce1043a2d81d76260088354fb0bc4d1694ca0af93a9832ce34a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-01-08T19:36:57Z",
    "title_canon_sha256": "680dd7c66b2b484bbd2bb7a2d3bcce975e76fffa78746098f615622819bd3643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02007",
    "kind": "arxiv",
    "version": 2
  }
}