Pith Number

pith:M5JBZ7ZJ

pith:2010:M5JBZ7ZJMFVJVZI2YFR2YSIKIV

not attested not anchored not stored refs pending

Collapsibility and vanishing of top homology in random simplicial complexes

L. Aronshtam, N. Linial, R. Meshulam, T. Luczak

arxiv:1010.1400 v2 · 2010-10-07 · 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{M5JBZ7ZJMFVJVZI2YFR2YSIKIV}

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	2026-05-18T04:16:22.918205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67521cff29616a9ae51ac163ac490a454c87ff0fdc1ea8965ccf25c23f1d46d7

Aliases

arxiv: 1010.1400 · arxiv_version: 1010.1400v2 · doi: 10.48550/arxiv.1010.1400 · pith_short_12: M5JBZ7ZJMFVJ · pith_short_16: M5JBZ7ZJMFVJVZI2 · pith_short_8: M5JBZ7ZJ

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/M5JBZ7ZJMFVJVZI2YFR2YSIKIV \
  | 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: 67521cff29616a9ae51ac163ac490a454c87ff0fdc1ea8965ccf25c23f1d46d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2421680d319c984dcbfc53319a899efed98b526b563d9c63dcdf430367a51e5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-07T11:21:03Z",
    "title_canon_sha256": "f69ce4ea31165f9c7b29320671c5be33f819a0d38ffd7ff38820be9c5779a0d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1400",
    "kind": "arxiv",
    "version": 2
  }
}