Pith Number

pith:YU4ULBB7

pith:2010:YU4ULBB7F2IEM4EGCQCI3YDNPO

not attested not anchored not stored refs pending

Ranking patterns of unfolding models of codimension one

Akimichi Takemura, Hidehiko Kamiya, Hiroaki Terao

arxiv:1003.0040 v2 · 2010-02-27 · 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{YU4ULBB7F2IEM4EGCQCI3YDNPO}

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	2026-05-18T04:20:22.350114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c53945843f2e9046708614048de06d7ba8a95b1c4ee3300676d8555d203e4b3a

Aliases

arxiv: 1003.0040 · arxiv_version: 1003.0040v2 · doi: 10.48550/arxiv.1003.0040 · pith_short_12: YU4ULBB7F2IE · pith_short_16: YU4ULBB7F2IEM4EG · pith_short_8: YU4ULBB7

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/YU4ULBB7F2IEM4EGCQCI3YDNPO \
  | 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: c53945843f2e9046708614048de06d7ba8a95b1c4ee3300676d8555d203e4b3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2ab7fcc2f93996dd4c061ed843a8857dd3e40005040209239f52ecb7ee3231",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-27T00:26:02Z",
    "title_canon_sha256": "9d0bc34bf10fec7f7d1f10d1cdbd311988f25d87507a3aa964845083a031b8d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0040",
    "kind": "arxiv",
    "version": 2
  }
}