Pith Number

pith:RNGXFPT5

pith:2023:RNGXFPT5YMRI3A7CCMUDH5DWBL

not attested not anchored not stored refs pending

Topological expansion for posets and the homological $k$-connectivity of random $q$-complexes

Elad Tzalik, Ran Tessler

arxiv:2306.14317 v2 · 2023-06-25 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNGXFPT5YMRI3A7CCMUDH5DWBL}

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	2026-07-05T07:36:43.621814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b4d72be7dc3228d83e2132833f4760ae0f586b65c44ee9302fc17f5d8d595ad

Aliases

arxiv: 2306.14317 · arxiv_version: 2306.14317v2 · doi: 10.48550/arxiv.2306.14317 · pith_short_12: RNGXFPT5YMRI · pith_short_16: RNGXFPT5YMRI3A7C · pith_short_8: RNGXFPT5

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/RNGXFPT5YMRI3A7CCMUDH5DWBL \
  | 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: 8b4d72be7dc3228d83e2132833f4760ae0f586b65c44ee9302fc17f5d8d595ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9173b778bfd06a6c4121097a28b32be639aaea25a3fe06c3eff2c9c06c894d7c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-25T19:10:32Z",
    "title_canon_sha256": "5ee5a4c10218da745d8ee8eacf8dfbcc818a36e1fbe95901b45878cd2caa40cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.14317",
    "kind": "arxiv",
    "version": 2
  }
}