Pith Number

pith:PVH73TJE

pith:2025:PVH73TJESXIBJ5K3O4YI3AX2W6

not attested not anchored not stored refs pending

Erd\H{o}s meets Nash-Williams

Cicely (Cece) Henderson, Luke Postle, Michelle Delcourt, Thomas Lesgourgues

arxiv:2507.23624 v1 · 2025-07-31 · 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{PVH73TJESXIBJ5K3O4YI3AX2W6}

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

A Proof of Nash-Williams' Conjecture

Receipt and verification

First computed	2026-07-05T11:46:28.204849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d4ffdcd2495d014f55b77308d82fab7914031c6f50f6a5f913e79dff6c413e1

Aliases

arxiv: 2507.23624 · arxiv_version: 2507.23624v1 · doi: 10.48550/arxiv.2507.23624 · pith_short_12: PVH73TJESXIB · pith_short_16: PVH73TJESXIBJ5K3 · pith_short_8: PVH73TJE

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/PVH73TJESXIBJ5K3O4YI3AX2W6 \
  | 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: 7d4ffdcd2495d014f55b77308d82fab7914031c6f50f6a5f913e79dff6c413e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da1968d174fa570e05ad159b296487e9c58327e5662011ac7b47458a3083d25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-31T15:03:54Z",
    "title_canon_sha256": "f146e7ef64e7ed1e1ab13fa0c3db143ad0a3b90d4b564d59484f9af9277ae6ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23624",
    "kind": "arxiv",
    "version": 1
  }
}