Pith Number

pith:O4U5R34H

pith:2011:O4U5R34HQBBYO63YPRSWQUNSLQ

not attested not anchored not stored refs pending

Weak Separation and Plabic Graphs

Alex Postnikov, David E Speyer, Suho Oh

arxiv:1109.4434 v1 · 2011-09-20 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4U5R34HQBBYO63YPRSWQUNSLQ}

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	2026-05-18T01:53:28.602497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7729d8ef878043877b787c656851b25c1d1c118678f856203b383665ac1883ea

Aliases

arxiv: 1109.4434 · arxiv_version: 1109.4434v1 · doi: 10.48550/arxiv.1109.4434 · pith_short_12: O4U5R34HQBBY · pith_short_16: O4U5R34HQBBYO63Y · pith_short_8: O4U5R34H

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/O4U5R34HQBBYO63YPRSWQUNSLQ \
  | 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: 7729d8ef878043877b787c656851b25c1d1c118678f856203b383665ac1883ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b1803c51912ee8ef19cd8a95a9105c8a47cba295a037039db4b4e901861a57",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-20T21:35:08Z",
    "title_canon_sha256": "bcbcceda089936011d45336fcfcd68149ecd863717297407b80c4eeaa203f64f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4434",
    "kind": "arxiv",
    "version": 1
  }
}