Pith Number

pith:MNLXT3OL

pith:2005:MNLXT3OLLBUDFAXN2SGLL6CDBM

not attested not anchored not stored refs pending

Forest matrices around the Laplacian matrix

Pavel Chebotarev, Rafig Agaev

arxiv:math/0508178 v2 · 2005-08-10 · 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{MNLXT3OLLBUDFAXN2SGLL6CDBM}

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	2026-07-04T14:50:36.503037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

635779edcb58683282edd48cb5f8430b27c14f05292b302432380e9848993750

Aliases

arxiv: math/0508178 · arxiv_version: math/0508178v2 · doi: 10.48550/arxiv.math/0508178 · pith_short_12: MNLXT3OLLBUD · pith_short_16: MNLXT3OLLBUDFAXN · pith_short_8: MNLXT3OL

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/MNLXT3OLLBUDFAXN2SGLL6CDBM \
  | 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: 635779edcb58683282edd48cb5f8430b27c14f05292b302432380e9848993750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f15e17c922018aa41a93024d63a6deeea7d6043446ed83d389d70911d1517f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-08-10T11:15:17Z",
    "title_canon_sha256": "926249601b7f97b1e7116d3e8079692603b1a9ff9063f64a60edbe01e38f6ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508178",
    "kind": "arxiv",
    "version": 2
  }
}