Pith Number

pith:637KFPRH

pith:2014:637KFPRHC5G6DNBLWV6HQCMCVE

not attested not anchored not stored refs pending

All graphs have tree-decompositions displaying their topological ends

Johannes Carmesin

arxiv:1409.6640 v5 · 2014-09-23 · 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{637KFPRHC5G6DNBLWV6HQCMCVE}

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	2026-05-18T00:24:25.473255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6fea2be27174de1b42bb57c780982a93c179ecf915dff0600392f94ae1b7618

Aliases

arxiv: 1409.6640 · arxiv_version: 1409.6640v5 · doi: 10.48550/arxiv.1409.6640 · pith_short_12: 637KFPRHC5G6 · pith_short_16: 637KFPRHC5G6DNBL · pith_short_8: 637KFPRH

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/637KFPRHC5G6DNBLWV6HQCMCVE \
  | 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: f6fea2be27174de1b42bb57c780982a93c179ecf915dff0600392f94ae1b7618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66495c3cd919301adaf5997bb20e4c99ab0947769c9d6ff7789e1e31813feb4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-23T15:44:02Z",
    "title_canon_sha256": "32eab24a8e1c6350526495c85932075da6afa1df286ed251d6ff8d2c190f5044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6640",
    "kind": "arxiv",
    "version": 5
  }
}