Pith Number

pith:27YDKH5V

pith:2006:27YDKH5VZEJYIF2JOR4GBGZGNR

not attested not anchored not stored refs pending

Spanning Forests and the Golden Ratio

Pavel Chebotarev

arxiv:math/0612792 v4 · 2006-12-27 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27YDKH5VZEJYIF2JOR4GBGZGNR}

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	2026-05-18T04:21:30.290444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f0351fb5c9138417497478609b266c5b6b593119dd7f9ccbb2b051c08255cd

Aliases

arxiv: math/0612792 · arxiv_version: math/0612792v4 · doi: 10.48550/arxiv.math/0612792 · pith_short_12: 27YDKH5VZEJY · pith_short_16: 27YDKH5VZEJYIF2J · pith_short_8: 27YDKH5V

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/27YDKH5VZEJYIF2JOR4GBGZGNR \
  | 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: d7f0351fb5c9138417497478609b266c5b6b593119dd7f9ccbb2b051c08255cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f160f49a9f3ff72945a53e837cd184bd4db8b4341a233b3109064052d42cbb0",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-12-27T19:16:24Z",
    "title_canon_sha256": "99d915d79603bcd415aa30a0981359ad0a7cf42114c05e6cecc88680fac8cbd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612792",
    "kind": "arxiv",
    "version": 4
  }
}