Pith Number

pith:L3UANL2J

pith:2011:L3UANL2JUAKXJJ6BQEV5XUQNM3

not attested not anchored not stored refs pending

Proof of Gal's conjecture for the D series of generalized associahedra

Mikhail Gorsky

arxiv:1106.1840 v1 · 2011-06-09 · 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{L3UANL2JUAKXJJ6BQEV5XUQNM3}

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	2026-05-18T04:20:15.036484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ee806af49a01574a7c1812bdbd20d66e394eca448c2e2369733654e4740e6cb

Aliases

arxiv: 1106.1840 · arxiv_version: 1106.1840v1 · doi: 10.48550/arxiv.1106.1840 · pith_short_12: L3UANL2JUAKX · pith_short_16: L3UANL2JUAKXJJ6B · pith_short_8: L3UANL2J

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/L3UANL2JUAKXJJ6BQEV5XUQNM3 \
  | 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: 5ee806af49a01574a7c1812bdbd20d66e394eca448c2e2369733654e4740e6cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6252666de8fb7193e09972cfb7af1570d606897d35c9e56104d1659441b74d1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-09T15:38:58Z",
    "title_canon_sha256": "28553cf711d0d7d496702ef223d5eecda74ac9c14d7ebd1ba5e62be52d008d00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1840",
    "kind": "arxiv",
    "version": 1
  }
}