Pith Number

pith:PMYQJXA2

pith:2010:PMYQJXA2QD2UTBNWSJFMJMP35R

not attested not anchored not stored refs pending

Limit theorems for Betti numbers of random simplicial complexes

Elizabeth Meckes, Matthew Kahle

arxiv:1009.4130 v3 · 2010-09-21 · math.PR · math.AT · 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{PMYQJXA2QD2UTBNWSJFMJMP35R}

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	2026-05-18T04:31:23.245971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b3104dc1a80f54985b6924ac4b1fbec78dcb7c3e27017f811fe31f72ac075a4

Aliases

arxiv: 1009.4130 · arxiv_version: 1009.4130v3 · doi: 10.48550/arxiv.1009.4130 · pith_short_12: PMYQJXA2QD2U · pith_short_16: PMYQJXA2QD2UTBNW · pith_short_8: PMYQJXA2

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/PMYQJXA2QD2UTBNWSJFMJMP35R \
  | 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: 7b3104dc1a80f54985b6924ac4b1fbec78dcb7c3e27017f811fe31f72ac075a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65536a01b8a6594c536491e5e5520d94c43d2cb545b711e4b385c9f9256aad31",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-21T16:08:09Z",
    "title_canon_sha256": "a48bec8fef3e91116cac2cc6603cfdd32e60778c8f4076f959a2ef95ee2f9862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4130",
    "kind": "arxiv",
    "version": 3
  }
}