Pith Number

pith:XAPZLLHK

pith:2013:XAPZLLHKBTJLT3VEBRDQS5A2KT

not attested not anchored not stored refs pending

Rational associahedra and noncrossing partitions

Brendon Rhoades, Drew Armstrong, Nathan Williams

arxiv:1305.7286 v1 · 2013-05-31 · 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{XAPZLLHKBTJLT3VEBRDQS5A2KT}

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	2026-05-18T03:22:07.301717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b81f95acea0cd2b9eea40c4709741a54d14b276627b9d465edb50aa72e3004bd

Aliases

arxiv: 1305.7286 · arxiv_version: 1305.7286v1 · doi: 10.48550/arxiv.1305.7286 · pith_short_12: XAPZLLHKBTJL · pith_short_16: XAPZLLHKBTJLT3VE · pith_short_8: XAPZLLHK

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/XAPZLLHKBTJLT3VEBRDQS5A2KT \
  | 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: b81f95acea0cd2b9eea40c4709741a54d14b276627b9d465edb50aa72e3004bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b85ed44175767ceeb177ac6ca8dbf1d1eb88a8855b8d5d90e35d4ade57b8ec33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-31T02:38:05Z",
    "title_canon_sha256": "a6cfb9be27d3b73d87d4c5836e11452a96dcf4f07231229449d4c3023d64bf8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7286",
    "kind": "arxiv",
    "version": 1
  }
}