Pith Number

pith:3ST37X2I

pith:2023:3ST37X2II4IRMIQ2BZRLFZRTWL

not attested not anchored not stored refs pending

Hypergraph independence polynomials with a zero close to the origin

Shengtong Zhang

arxiv:2305.17822 v2 · 2023-05-28 · 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{3ST37X2II4IRMIQ2BZRLFZRTWL}

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.

Cited by

1 paper in Pith

Lower tails for triangles inside the critical window

Receipt and verification

First computed	2026-07-05T11:29:45.935855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca7bfdf48471116221a0e62b2e633b2e9f1838ff6f8b6bcb84023dd3c758786

Aliases

arxiv: 2305.17822 · arxiv_version: 2305.17822v2 · doi: 10.48550/arxiv.2305.17822 · pith_short_12: 3ST37X2II4IR · pith_short_16: 3ST37X2II4IRMIQ2 · pith_short_8: 3ST37X2I

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/3ST37X2II4IRMIQ2BZRLFZRTWL \
  | 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: dca7bfdf48471116221a0e62b2e633b2e9f1838ff6f8b6bcb84023dd3c758786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c3b01b007d63169903ea96a0d929edbf09c552400a048148458be00f1b84a06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-28T23:17:47Z",
    "title_canon_sha256": "16bc1fe2ea034345c917df880b11126c809e8a56c219f9bd2245d4301d032452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.17822",
    "kind": "arxiv",
    "version": 2
  }
}