Pith Number

pith:GOSB3WMX

pith:2019:GOSB3WMXUTJSOCSKHCYHUJXCJR

not attested not anchored not stored refs pending

A lower bound on the tree-width of graphs with irrelevant vertices

Isolde Adler, Philipp Klaus Krause

arxiv:1901.04325 v1 · 2019-01-14 · cs.DM · 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{GOSB3WMXUTJSOCSKHCYHUJXCJR}

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	2026-05-17T23:56:25.821229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33a41dd997a4d3270a4a38b07a26e24c54ce0e3a6c3f45fa09cc5ffb698da115

Aliases

arxiv: 1901.04325 · arxiv_version: 1901.04325v1 · doi: 10.48550/arxiv.1901.04325 · pith_short_12: GOSB3WMXUTJS · pith_short_16: GOSB3WMXUTJSOCSK · pith_short_8: GOSB3WMX

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/GOSB3WMXUTJSOCSKHCYHUJXCJR \
  | 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: 33a41dd997a4d3270a4a38b07a26e24c54ce0e3a6c3f45fa09cc5ffb698da115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "361419d703ce5c504863aa100e6c8c644745bccbeb88c4f3f7483a24bb2bf793",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-01-14T14:00:22Z",
    "title_canon_sha256": "deca52b0188100df40c78d241c54933c81381b6472e5163c38fb3df786d5ee11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04325",
    "kind": "arxiv",
    "version": 1
  }
}