Pith Number

pith:4GRZ3OXS

pith:2015:4GRZ3OXSVJLPP2JUTVEWKNM4JF

not attested not anchored not stored refs pending

Bounding connected tree-width

Daniel Wei{\ss}auer, Matthias Hamann

arxiv:1503.01592 v2 · 2015-03-05 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GRZ3OXSVJLPP2JUTVEWKNM4JF}

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	2026-05-18T00:50:52.549982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a39dbaf2aa56f7e9349d4965359c494ccfa82c7f9a02517c6fac6d4e826807

Aliases

arxiv: 1503.01592 · arxiv_version: 1503.01592v2 · doi: 10.48550/arxiv.1503.01592 · pith_short_12: 4GRZ3OXSVJLP · pith_short_16: 4GRZ3OXSVJLPP2JU · pith_short_8: 4GRZ3OXS

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/4GRZ3OXSVJLPP2JUTVEWKNM4JF \
  | 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: e1a39dbaf2aa56f7e9349d4965359c494ccfa82c7f9a02517c6fac6d4e826807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d7d0922c22c8dbec0346d25307e3f83ff80914cf980f608546d58cc3d48d12e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-05T09:59:05Z",
    "title_canon_sha256": "613a986aca1315e02e7ce4fe1c4fdfefe6fc6f2a2d4a22d88d36d3079ac49f8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01592",
    "kind": "arxiv",
    "version": 2
  }
}