Pith Number

pith:ANPUMIUP

pith:2015:ANPUMIUPYW43PCL75W7IWL2D7J

not attested not anchored not stored refs pending

Treewidth of grid subsets

Eli Berger, Sergey Norin, Zdenek Dvorak

arxiv:1512.06441 v1 · 2015-12-20 · 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{ANPUMIUPYW43PCL75W7IWL2D7J}

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	2026-05-18T01:24:00.521975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

035f46228fc5b9b7897fedbe8b2f43fa4065aff706324042c6bcfd2e98006a55

Aliases

arxiv: 1512.06441 · arxiv_version: 1512.06441v1 · doi: 10.48550/arxiv.1512.06441 · pith_short_12: ANPUMIUPYW43 · pith_short_16: ANPUMIUPYW43PCL7 · pith_short_8: ANPUMIUP

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/ANPUMIUPYW43PCL75W7IWL2D7J \
  | 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: 035f46228fc5b9b7897fedbe8b2f43fa4065aff706324042c6bcfd2e98006a55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "556796512768304a753c7066437e81f536af2245e3452e84eaa75e19daa146e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-20T21:55:31Z",
    "title_canon_sha256": "26436e8b8f719474c800dd2f803699fb5ea3ed1989aefcf7024781da76d8c881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06441",
    "kind": "arxiv",
    "version": 1
  }
}