Pith Number

pith:K6DOB745

pith:2009:K6DOB745YOC2KNS5JIQJNTCH4Z

not attested not anchored not stored refs pending

Visibility graphs and deformations of associahedra

Ezra Winston, Rahul Shah, Satyan L. Devadoss, Xuancheng Shao

arxiv:0903.2848 v1 · 2009-03-16 · math.CO · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6DOB745YOC2KNS5JIQJNTCH4Z}

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	2026-05-18T01:49:54.399656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5786e0ff9dc385a5365d4a2096cc47e6518ca81c1a145d05de7d099f318f24f5

Aliases

arxiv: 0903.2848 · arxiv_version: 0903.2848v1 · doi: 10.48550/arxiv.0903.2848 · pith_short_12: K6DOB745YOC2 · pith_short_16: K6DOB745YOC2KNS5 · pith_short_8: K6DOB745

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/K6DOB745YOC2KNS5JIQJNTCH4Z \
  | 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: 5786e0ff9dc385a5365d4a2096cc47e6518ca81c1a145d05de7d099f318f24f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29803a713ee7221956606972c2429c91975d5d62f34e1ba91edc2e73987a0c1d",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-03-16T20:23:25Z",
    "title_canon_sha256": "1e9e31750d7a02fb2a8731ffbd730171440da7511b87c345d65768e6f21497fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2848",
    "kind": "arxiv",
    "version": 1
  }
}