Pith Number

pith:LKSTGQ7J

pith:2010:LKSTGQ7JJLNZY2GJD2Z5UNHODQ

not attested not anchored not stored refs pending

Cycle decompositions: from graphs to continua

Agelos Georgakopoulos

arxiv:1003.5115 v4 · 2010-03-26 · math.GN · math.AT · 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{LKSTGQ7JJLNZY2GJD2Z5UNHODQ}

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	2026-05-18T04:10:10.666905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa53343e94adb9c68c91eb3da34ee1c25ea430c2736d360ad3fc21f416544c1

Aliases

arxiv: 1003.5115 · arxiv_version: 1003.5115v4 · doi: 10.48550/arxiv.1003.5115 · pith_short_12: LKSTGQ7JJLNZ · pith_short_16: LKSTGQ7JJLNZY2GJ · pith_short_8: LKSTGQ7J

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/LKSTGQ7JJLNZY2GJD2Z5UNHODQ \
  | 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: 5aa53343e94adb9c68c91eb3da34ee1c25ea430c2736d360ad3fc21f416544c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "581b3ea2fc201120d1db896754616dde2d19b1fa653475f3f5d6cf928631da50",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-03-26T11:15:11Z",
    "title_canon_sha256": "dd8a45e4d3e7a3c8e5a51962bc2cd410a55668a3632d8cc5253841640c800ebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5115",
    "kind": "arxiv",
    "version": 4
  }
}