Pith Number

pith:R44VFROV

pith:2015:R44VFROVAU44LYSISXZIWYE4KE

not attested not anchored not stored refs pending

Canonical tree-decompositions of a graph that display its $k$-blocks

Johannes Carmesin, Pascal Gollin

arxiv:1506.02904 v1 · 2015-06-09 · 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{R44VFROVAU44LYSISXZIWYE4KE}

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.

Cited by

1 paper in Pith

Optimal trees of tangles: refining the essential parts

Receipt and verification

First computed	2026-05-18T01:55:40.574181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f3952c5d50539c5e24895f28b609c512b50a983219d6f839e1e29363df5fff6

Aliases

arxiv: 1506.02904 · arxiv_version: 1506.02904v1 · doi: 10.48550/arxiv.1506.02904 · pith_short_12: R44VFROVAU44 · pith_short_16: R44VFROVAU44LYSI · pith_short_8: R44VFROV

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/R44VFROVAU44LYSISXZIWYE4KE \
  | 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: 8f3952c5d50539c5e24895f28b609c512b50a983219d6f839e1e29363df5fff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d31fabc4443cd3859f135bc09687eb0b4144649dfd729fc0bff090350f67ff41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-09T13:38:40Z",
    "title_canon_sha256": "58546100665cbe50a21b2b3f1c5f9d72447e11610dd6def2141b5802a256dd1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02904",
    "kind": "arxiv",
    "version": 1
  }
}