Pith Number

pith:PSUVKE6R

pith:2010:PSUVKE6RKJV4FAYSVWBPFCFLYS

not attested not anchored not stored refs pending

Bigraded Betti numbers of some simple polytopes

Ivan Limonchenko

arxiv:1101.0066 v2 · 2010-12-30 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSUVKE6RKJV4FAYSVWBPFCFLYS}

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	2026-05-18T00:30:49.891604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca95513d1526bc28312ad82f288abc4bc798c802ad429b87bdc8899b7c18b52

Aliases

arxiv: 1101.0066 · arxiv_version: 1101.0066v2 · doi: 10.48550/arxiv.1101.0066 · pith_short_12: PSUVKE6RKJV4 · pith_short_16: PSUVKE6RKJV4FAYS · pith_short_8: PSUVKE6R

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/PSUVKE6RKJV4FAYSVWBPFCFLYS \
  | 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: 7ca95513d1526bc28312ad82f288abc4bc798c802ad429b87bdc8899b7c18b52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c6cb99f04ebaa6ca173b9f22433ef398d08817765ee01b6f92a43c53c2780c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-12-30T10:30:09Z",
    "title_canon_sha256": "e0581c69b94e149b0a64b8efe3b02e82a7e9b1d38194890bf6dc1c1010d7a4cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0066",
    "kind": "arxiv",
    "version": 2
  }
}