Pith Number

pith:CMJCRMM3

pith:2017:CMJCRMM324FAPTEQMXVSQW6NZ3

not attested not anchored not stored refs pending

On tree-decompositions of one-ended graphs

Florian Lehner, Johannes Carmesin, R\"ognvaldur G. M\"oller

arxiv:1706.08330 v3 · 2017-06-26 · 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{CMJCRMM324FAPTEQMXVSQW6NZ3}

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	2026-05-18T00:15:37.574421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

131228b19bd70a07cc9065eb285bcdcefd98f95e345a9c021917efe97f71dcbd

Aliases

arxiv: 1706.08330 · arxiv_version: 1706.08330v3 · doi: 10.48550/arxiv.1706.08330 · pith_short_12: CMJCRMM324FA · pith_short_16: CMJCRMM324FAPTEQ · pith_short_8: CMJCRMM3

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/CMJCRMM324FAPTEQMXVSQW6NZ3 \
  | 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: 131228b19bd70a07cc9065eb285bcdcefd98f95e345a9c021917efe97f71dcbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb78ccce8b736ebd83ca479c983c951ed6a959f7fcca80f2ab13fba86415c22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-26T11:34:46Z",
    "title_canon_sha256": "10e2525f7acdb6a1ed6621db4c949e726dfb39c92eb05969d1a031295381f3c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08330",
    "kind": "arxiv",
    "version": 3
  }
}