Pith Number

pith:YYX4AGHI

pith:2007:YYX4AGHINGF4AB5C3AJBVAIII3

not attested not anchored not stored refs pending

The weighted complexity and the determinant functions of graphs

Dongseok Kim, Jaeun Lee, Young Soo Kwon

arxiv:0705.2284 v2 · 2007-05-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYX4AGHINGF4AB5C3AJBVAIII3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:38:14.573832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c62fc018e8698bc007a2d8121a810846c7b26c7cf21d563dfb50e37fa7167593

Aliases

arxiv: 0705.2284 · arxiv_version: 0705.2284v2 · doi: 10.48550/arxiv.0705.2284 · pith_short_12: YYX4AGHINGF4 · pith_short_16: YYX4AGHINGF4AB5C · pith_short_8: YYX4AGHI

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/YYX4AGHINGF4AB5C3AJBVAIII3 \
  | 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: c62fc018e8698bc007a2d8121a810846c7b26c7cf21d563dfb50e37fa7167593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07f72aa1f034810c3ad771d7576bfb373df81fae33ffd0f485c5bdf85338b328",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-05-16T06:51:20Z",
    "title_canon_sha256": "db08808ccede553dae31370fb46ea63f152e1070ade1bf86b58f015e46d758a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2284",
    "kind": "arxiv",
    "version": 2
  }
}