Pith Number

pith:KSXKX22S

pith:2011:KSXKX22SKMTYQTZMPL2M4TB2O5

not attested not anchored not stored refs pending

Mixed Pentagon, octagon and Broadhurst duality equation

Benjamin Enriquez, Hidekazu Furusho

arxiv:1103.1188 v2 · 2011-03-07 · math.QA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSXKX22SKMTYQTZMPL2M4TB2O5}

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	2026-05-18T04:14:07.749207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54aeabeb525327884f2c7af4ce4c3a774435ac08749937dcebd8b9502966a6f6

Aliases

arxiv: 1103.1188 · arxiv_version: 1103.1188v2 · doi: 10.48550/arxiv.1103.1188 · pith_short_12: KSXKX22SKMTY · pith_short_16: KSXKX22SKMTYQTZM · pith_short_8: KSXKX22S

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/KSXKX22SKMTYQTZMPL2M4TB2O5 \
  | 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: 54aeabeb525327884f2c7af4ce4c3a774435ac08749937dcebd8b9502966a6f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c3356c8ebf17885da36b2a2cd45471bd662398b39e64e930ae84025d38f627",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-03-07T03:30:10Z",
    "title_canon_sha256": "e1f93d3c1ec51449506553b48c055ba5bdfa1bcfa5f4bab1c2e391344e6c9769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1188",
    "kind": "arxiv",
    "version": 2
  }
}