Pith Number

pith:3JWBGMPT

pith:2025:3JWBGMPTRHIVEIOYVHAP2XFSWH

not attested not anchored not stored refs pending

Local limit of Prim's algorithm

Beno\^it Corsini, Remco van der Hofstad, Rowel G\"undlach

arxiv:2507.04867 v1 · 2025-07-07 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JWBGMPTRHIVEIOYVHAP2XFSWH}

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	2026-07-05T11:32:55.505807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da6c1331f389d15221d8a9c0fd5cb2b1c7187294a1b75423de519128bfbe3cc0

Aliases

arxiv: 2507.04867 · arxiv_version: 2507.04867v1 · doi: 10.48550/arxiv.2507.04867 · pith_short_12: 3JWBGMPTRHIV · pith_short_16: 3JWBGMPTRHIVEIOY · pith_short_8: 3JWBGMPT

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/3JWBGMPTRHIVEIOYVHAP2XFSWH \
  | 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: da6c1331f389d15221d8a9c0fd5cb2b1c7187294a1b75423de519128bfbe3cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b96487c88a3781340ec420908134ac7390648842dbfb2fc543130d61bab148",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-07T10:51:33Z",
    "title_canon_sha256": "abc9267bf09b6f010192134d0f6cf0e6777e15b8567aa2c72cf3614922e61778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04867",
    "kind": "arxiv",
    "version": 1
  }
}