Pith Number

pith:Z3IDRZWK

pith:2012:Z3IDRZWKTG3AAETP4Z3VB5YBSJ

not attested not anchored not stored refs pending

Bipermutahedron and biassociahedron

Martin Markl

arxiv:1209.5193 v3 · 2012-09-24 · math.AT · 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{Z3IDRZWKTG3AAETP4Z3VB5YBSJ}

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	2026-05-18T03:31:29.455289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced038e6ca99b600126fe67750f70192723c4f906b28ccc59419d278fd99698d

Aliases

arxiv: 1209.5193 · arxiv_version: 1209.5193v3 · doi: 10.48550/arxiv.1209.5193 · pith_short_12: Z3IDRZWKTG3A · pith_short_16: Z3IDRZWKTG3AAETP · pith_short_8: Z3IDRZWK

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/Z3IDRZWKTG3AAETP4Z3VB5YBSJ \
  | 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: ced038e6ca99b600126fe67750f70192723c4f906b28ccc59419d278fd99698d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4252f94d5073f796d077ef35bd38a45e5c7887dfc2adb67f143f4e2fecc873d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-09-24T08:44:49Z",
    "title_canon_sha256": "3e2d9fdc10638c1143bab94b4cb27942a36d6b1f8df85b0d2c6820291a187992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5193",
    "kind": "arxiv",
    "version": 3
  }
}