Pith Number

pith:4DK2CU2B

pith:2025:4DK2CU2BFLX4XMHRDBL7C37W2R

not attested not anchored not stored refs pending

Well-hued graphs with first difference two

Geoffrey Boyer, Jeremy Lyle, Kirsti Kuenzel, Ryan Pellico

arxiv:2506.04993 v1 · 2025-06-05 · 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{4DK2CU2BFLX4XMHRDBL7C37W2R}

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	2026-07-05T11:16:40.363320Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d5a153412aefcbb0f11857f16ff6d4770582d6dd5fb1463b1581a282f1aa3d

Aliases

arxiv: 2506.04993 · arxiv_version: 2506.04993v1 · doi: 10.48550/arxiv.2506.04993 · pith_short_12: 4DK2CU2BFLX4 · pith_short_16: 4DK2CU2BFLX4XMHR · pith_short_8: 4DK2CU2B

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/4DK2CU2BFLX4XMHRDBL7C37W2R \
  | 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: e0d5a153412aefcbb0f11857f16ff6d4770582d6dd5fb1463b1581a282f1aa3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd148958089e531af7e972ae04e8938a4861d1574a08d3da5af4ec9d2a05ce0d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-05T13:02:47Z",
    "title_canon_sha256": "323eec148598102ab13f4652614a3e6f4529883e483769969c7592a66acc5729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04993",
    "kind": "arxiv",
    "version": 1
  }
}