Pith Number

pith:Y3PIDACS

pith:2003:Y3PIDACSBVO3P3JT4FNK5EWIED

not attested not anchored not stored refs pending

Tricyclic graphs with exactly two main eigenvalues

Hanyuan Deng, He Huang

arxiv:math-ph/0309029 v2 · 2003-09-12 · math-ph · math.CO · 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{Y3PIDACSBVO3P3JT4FNK5EWIED}

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	2026-05-18T02:38:59.759334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6de8180520d5db7ed33e15aae92c820d9ea246af13837a2218d2f08476c0f20

Aliases

arxiv: math-ph/0309029 · arxiv_version: math-ph/0309029v2 · doi: 10.48550/arxiv.math-ph/0309029 · pith_short_12: Y3PIDACSBVO3 · pith_short_16: Y3PIDACSBVO3P3JT · pith_short_8: Y3PIDACS

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/Y3PIDACSBVO3P3JT4FNK5EWIED \
  | 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: c6de8180520d5db7ed33e15aae92c820d9ea246af13837a2218d2f08476c0f20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc747e95bf7938dc0456f24e99f220b47d8ea5bd47bcdc8ba32507a68461740",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2003-09-12T10:25:30Z",
    "title_canon_sha256": "d963cb85337a7dfd8a78796ac357049881ef88f09a2ac00be95bc03a9cdf8a3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0309029",
    "kind": "arxiv",
    "version": 2
  }
}