Pith Number

pith:WIAMX5S5

pith:2025:WIAMX5S5UPHQBCP3K6CKQKICEH

not attested not anchored not stored refs pending

Bipartite Tur\'an problems via graph gluing

Hong Liu, Jun Gao, Zichao Dong

arxiv:2501.12953 v3 · 2025-01-22 · 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{WIAMX5S5UPHQBCP3K6CKQKICEH}

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	2026-06-23T02:13:13.790612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b200cbf65da3cf0089fb5784a8290221f576aeca03607bfbce0db9fb0e0dc107

Aliases

arxiv: 2501.12953 · arxiv_version: 2501.12953v3 · doi: 10.48550/arxiv.2501.12953 · pith_short_12: WIAMX5S5UPHQ · pith_short_16: WIAMX5S5UPHQBCP3 · pith_short_8: WIAMX5S5

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/WIAMX5S5UPHQBCP3K6CKQKICEH \
  | 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: b200cbf65da3cf0089fb5784a8290221f576aeca03607bfbce0db9fb0e0dc107

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b979d3ce76174868633febce5c0bfbfb30d97237f01fb90e0108d9f036d1f07",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-22T15:25:14Z",
    "title_canon_sha256": "ef7747d9d99b041f09f7a064ada174e0898028b26487ffe738a3220c15df21fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12953",
    "kind": "arxiv",
    "version": 3
  }
}