Pith Number

pith:4QO46LTA

pith:2011:4QO46LTAFBHLIOJVCK7YNQODGZ

not attested not anchored not stored refs pending

Tall-Wraith Monoids

Andrew Stacey, Sarah Whitehouse

arxiv:1102.3549 v1 · 2011-02-17 · 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{4QO46LTAFBHLIOJVCK7YNQODGZ}

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	2026-05-18T04:28:28.865570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e41dcf2e60284eb4393512bf86c1c3367664907969ecae3a5a19d325c59fce56

Aliases

arxiv: 1102.3549 · arxiv_version: 1102.3549v1 · doi: 10.48550/arxiv.1102.3549 · pith_short_12: 4QO46LTAFBHL · pith_short_16: 4QO46LTAFBHLIOJV · pith_short_8: 4QO46LTA

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/4QO46LTAFBHLIOJVCK7YNQODGZ \
  | 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: e41dcf2e60284eb4393512bf86c1c3367664907969ecae3a5a19d325c59fce56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878ca842beada2d08a0860ebee7a78071baab56840a023531b6da188f9d76b29",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-02-17T10:15:05Z",
    "title_canon_sha256": "6382cfe7f6d5f98cf082d480c436ca4d74afee328c460c20bc0916ae45b87dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3549",
    "kind": "arxiv",
    "version": 1
  }
}