Pith Number

pith:JJEGP5PJ

pith:2013:JJEGP5PJCUB3QXOLIELVPA6APJ

not attested not anchored not stored refs pending

Counting rooted forests in a network

Oliver Knill

arxiv:1307.3810 v2 · 2013-07-15 · math.SP · cs.DM · cs.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJEGP5PJCUB3QXOLIELVPA6APJ}

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

The number of rooted forests in circulant graphs

Receipt and verification

First computed	2026-05-18T03:18:07.674678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4867f5e91503b85dcb41175783c07a5b60ccd881cac30c93c3d172bc5a3a37

Aliases

arxiv: 1307.3810 · arxiv_version: 1307.3810v2 · doi: 10.48550/arxiv.1307.3810 · pith_short_12: JJEGP5PJCUB3 · pith_short_16: JJEGP5PJCUB3QXOL · pith_short_8: JJEGP5PJ

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/JJEGP5PJCUB3QXOLIELVPA6APJ \
  | 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: 4a4867f5e91503b85dcb41175783c07a5b60ccd881cac30c93c3d172bc5a3a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf9d85298d0c69f9cd361bac960c495330e8ec0982a833807e50e76f293a516b",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-07-15T02:44:05Z",
    "title_canon_sha256": "d4f24f9aaf560153adde8a78e6463d6c2b54ebe1d8ce3e1a19164793e95141ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3810",
    "kind": "arxiv",
    "version": 2
  }
}