Pith Number

pith:FHBUMGXP

pith:2010:FHBUMGXPDUVIJEGZDMKBHNDYRW

not attested not anchored not stored refs pending

The Discrete Fundamental Group of the Associahedron, and the Exchange Module

Christopher Severs, H\'el\`ene Barcelo, Jacob A. White

arxiv:1012.2810 v2 · 2010-12-13 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHBUMGXPDUVIJEGZDMKBHNDYRW}

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	2026-05-18T03:20:57.287481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c3461aef1d2a8490d91b1413b4788d87e2f72acb15d85119e9054b3f19aeaa

Aliases

arxiv: 1012.2810 · arxiv_version: 1012.2810v2 · doi: 10.48550/arxiv.1012.2810 · pith_short_12: FHBUMGXPDUVI · pith_short_16: FHBUMGXPDUVIJEGZ · pith_short_8: FHBUMGXP

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/FHBUMGXPDUVIJEGZDMKBHNDYRW \
  | 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: 29c3461aef1d2a8490d91b1413b4788d87e2f72acb15d85119e9054b3f19aeaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d3a16e81117beb1e43e85e98abed7337c7da5ceaea6bd7d95b1bc93aabfb53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-13T17:39:04Z",
    "title_canon_sha256": "295d8ea5dcd867cf0029397d3dbef00e40a870d5fc1b754c6b94c8e9984962a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2810",
    "kind": "arxiv",
    "version": 2
  }
}