Pith Number

pith:F7TL423S

pith:2025:F7TL423SGVCM3AKA5SASCMZHI3

not attested not anchored not stored refs pending

Toward Vu's conjecture

Abhishek Dhawan, Abhishek Methuku, Michael C. Wigal, Peter Bradshaw

arxiv:2508.16818 v2 · 2025-08-22 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7TL423SGVCM3AKA5SASCMZHI3}

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

The independence number of uncrowded hypergraphs: bounds matching the shattering threshold

Receipt and verification

First computed	2026-07-05T12:06:18.496837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fe6be6b723544cd8140ec8121332746e509f2e64cdfbaae9792fdacc6a3d4fa

Aliases

arxiv: 2508.16818 · arxiv_version: 2508.16818v2 · doi: 10.48550/arxiv.2508.16818 · pith_short_12: F7TL423SGVCM · pith_short_16: F7TL423SGVCM3AKA · pith_short_8: F7TL423S

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/F7TL423SGVCM3AKA5SASCMZHI3 \
  | 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: 2fe6be6b723544cd8140ec8121332746e509f2e64cdfbaae9792fdacc6a3d4fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "754c1c1842f1f7f8e1412f6f6ec3992b7b45556b7aeb88ad304c730f83e7b417",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-22T22:37:22Z",
    "title_canon_sha256": "57012ad851004081d12d811bac1c1099f1901eceefca70ed1be332257a7b578a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.16818",
    "kind": "arxiv",
    "version": 2
  }
}