Pith Number

pith:F3ZYQXVC

pith:2012:F3ZYQXVCSZZTDKBFVWCAH2DN5N

not attested not anchored not stored refs pending

Product Dimension of Forests and Bounded Treewidth Graphs

Deepak Rajendraprasad, L. Sunil Chandran, Rogers Mathew, Roohani Sharma

arxiv:1209.2218 v1 · 2012-09-11 · 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{F3ZYQXVCSZZTDKBFVWCAH2DN5N}

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	2026-05-18T03:45:52.531277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef3885ea2967331a825ad8403e86deb608806298403b272f59dcec87070f5e7

Aliases

arxiv: 1209.2218 · arxiv_version: 1209.2218v1 · doi: 10.48550/arxiv.1209.2218 · pith_short_12: F3ZYQXVCSZZT · pith_short_16: F3ZYQXVCSZZTDKBF · pith_short_8: F3ZYQXVC

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/F3ZYQXVCSZZTDKBFVWCAH2DN5N \
  | 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: 2ef3885ea2967331a825ad8403e86deb608806298403b272f59dcec87070f5e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52eaeae0ff2597a781df9690fda14121fbdef61af76d6b3c9d1f3e34112e7062",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-11T04:22:37Z",
    "title_canon_sha256": "14343b2249514ab080dd0b0d86eb159ae5d15bcaea3f919c0c3aafeba3979bd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2218",
    "kind": "arxiv",
    "version": 1
  }
}