Pith Number

pith:Q5PKJCQB

pith:2011:Q5PKJCQB4YQ6MQL4W7TJ4SUXD3

not attested not anchored not stored refs pending

Examples of *-commuting maps

Ben Maloney, Paulette N. Willis

arxiv:1101.3795 v2 · 2011-01-19 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5PKJCQB4YQ6MQL4W7TJ4SUXD3}

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	2026-05-18T03:37:41.948921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

875ea48a01e621e6417cb7e69e4a971ed641be6c3a7cc6f15bf95a30dd5cd7b5

Aliases

arxiv: 1101.3795 · arxiv_version: 1101.3795v2 · doi: 10.48550/arxiv.1101.3795 · pith_short_12: Q5PKJCQB4YQ6 · pith_short_16: Q5PKJCQB4YQ6MQL4 · pith_short_8: Q5PKJCQB

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/Q5PKJCQB4YQ6MQL4W7TJ4SUXD3 \
  | 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: 875ea48a01e621e6417cb7e69e4a971ed641be6c3a7cc6f15bf95a30dd5cd7b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036274b79c6015f9a3908bd0fbb375b24383bcc1751b7eea1810de75ef7360c5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-01-19T23:06:16Z",
    "title_canon_sha256": "1e20791c4d6d4c55069be3eba635c0ad02602be21c30c1c242618fb4f6aa3ab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3795",
    "kind": "arxiv",
    "version": 2
  }
}