Pith Number

pith:CMWIVQWM

pith:2013:CMWIVQWM7KSB5RGXSCUBVE4MB2

not attested not anchored not stored refs pending

Tree-width and dimension

Bartosz Walczak, Gwena\"el Joret, Kevin G. Milans, Piotr Micek, Ruidong Wang, William T. Trotter

arxiv:1301.5271 v3 · 2013-01-22 · 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{CMWIVQWM7KSB5RGXSCUBVE4MB2}

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	2026-05-18T00:55:17.969895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

132c8ac2ccfaa41ec4d790a81a938c0e898815169829cdd614987f0a85246aa8

Aliases

arxiv: 1301.5271 · arxiv_version: 1301.5271v3 · doi: 10.48550/arxiv.1301.5271 · pith_short_12: CMWIVQWM7KSB · pith_short_16: CMWIVQWM7KSB5RGX · pith_short_8: CMWIVQWM

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/CMWIVQWM7KSB5RGXSCUBVE4MB2 \
  | 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: 132c8ac2ccfaa41ec4d790a81a938c0e898815169829cdd614987f0a85246aa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ed97be9c808f4b7c949c31ad5cb30cc819c29861525fd46ca6f07936109f27e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-22T18:48:29Z",
    "title_canon_sha256": "8f21f5536b0852bef29686e1363e74ef5b355cd6fbb60acf85849d04ff6cc450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5271",
    "kind": "arxiv",
    "version": 3
  }
}