Pith Number

pith:NS3ZJ7MT

pith:2011:NS3ZJ7MTYJEASYCTFKCNZ5K4ON

not attested not anchored not stored refs pending

On the cd-index and gamma-vector of S*-shellable CW-spheres

Eran Nevo, Satoshi Murai

arxiv:1102.0096 v1 · 2011-02-01 · 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{NS3ZJ7MTYJEASYCTFKCNZ5K4ON}

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	2026-05-18T04:30:13.251465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cb794fd93c2480960532a84dcf55c7377fc78f3fc8b4f2c4925c341cf86e4d8

Aliases

arxiv: 1102.0096 · arxiv_version: 1102.0096v1 · doi: 10.48550/arxiv.1102.0096 · pith_short_12: NS3ZJ7MTYJEA · pith_short_16: NS3ZJ7MTYJEASYCT · pith_short_8: NS3ZJ7MT

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/NS3ZJ7MTYJEASYCTFKCNZ5K4ON \
  | 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: 6cb794fd93c2480960532a84dcf55c7377fc78f3fc8b4f2c4925c341cf86e4d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a462acf108878515afa48418028a0268d2195842fea463626ffa4c7af0e2437c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-01T08:34:30Z",
    "title_canon_sha256": "699d2a77c0de0f692e20b6a453a9d8fbfebaa83dfa0db1d0c494ccf22b1a3a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0096",
    "kind": "arxiv",
    "version": 1
  }
}