Pith Number

pith:7UVIRMCB

pith:2011:7UVIRMCBPRDLNH5HRFRL5FAULL

not attested not anchored not stored refs pending

Unital associahedra

Andrew Tonks, Fernando Muro

arxiv:1110.1959 v1 · 2011-10-10 · math.QA · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UVIRMCBPRDLNH5HRFRL5FAULL}

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	2026-05-18T02:53:54.366137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2a88b0417c46b69fa78962be94145ac21880ec0b9ea214de89185c0cfacf0a

Aliases

arxiv: 1110.1959 · arxiv_version: 1110.1959v1 · doi: 10.48550/arxiv.1110.1959 · pith_short_12: 7UVIRMCBPRDL · pith_short_16: 7UVIRMCBPRDLNH5H · pith_short_8: 7UVIRMCB

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/7UVIRMCBPRDLNH5HRFRL5FAULL \
  | 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: fd2a88b0417c46b69fa78962be94145ac21880ec0b9ea214de89185c0cfacf0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "970925c37c31e5fbd8bc7c7378d41cbb0b83fa500a7ff57762fbf6cf5c8ca8a0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-10-10T08:46:18Z",
    "title_canon_sha256": "ea5cc3cbb69c98ee7b632e2860664dfa3a19a89d76e03b8601bb2452e5bc6652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1959",
    "kind": "arxiv",
    "version": 1
  }
}