Pith Number

pith:G4NAQL5M

pith:2012:G4NAQL5MLY6LY263LNIUYVRQJL

not attested not anchored not stored refs pending

When does the top homology of a random simplicial complex vanish?

L. Aronshtam, N. Linial

arxiv:1203.3312 v1 · 2012-03-15 · 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{G4NAQL5MLY6LY263LNIUYVRQJL}

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	2026-05-18T04:00:02.181125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

371a082fac5e3cbc6bdb5b514c56304ad00bbb4d1d7e27ac425cc5a2ca9f062f

Aliases

arxiv: 1203.3312 · arxiv_version: 1203.3312v1 · doi: 10.48550/arxiv.1203.3312 · pith_short_12: G4NAQL5MLY6L · pith_short_16: G4NAQL5MLY6LY263 · pith_short_8: G4NAQL5M

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/G4NAQL5MLY6LY263LNIUYVRQJL \
  | 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: 371a082fac5e3cbc6bdb5b514c56304ad00bbb4d1d7e27ac425cc5a2ca9f062f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7508c60313c04b7e1b3d7301a0c7a1e5eb9f4d5671a0a6b8bea3ebc39aaf7869",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-15T10:40:54Z",
    "title_canon_sha256": "a6e95e2c6ef07076dabc2b6c9f1910df9e970eaad82e8dcc7fd6fff978e1c38e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3312",
    "kind": "arxiv",
    "version": 1
  }
}