Pith Number

pith:EFCZB5N6

pith:2018:EFCZB5N65BL6TR6DJGU54MFOTM

not attested not anchored not stored refs pending

A short derivation of the structure theorem for graphs with excluded topological minors

Daniel Wei{\ss}auer, Joshua Erde

arxiv:1807.01119 v1 · 2018-07-03 · 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{EFCZB5N65BL6TR6DJGU54MFOTM}

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	2026-05-18T00:11:45.266242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

214590f5bee857e9c7c349a9de30ae9b2c53c61071adc90268c3e3b2fdc5ae9a

Aliases

arxiv: 1807.01119 · arxiv_version: 1807.01119v1 · doi: 10.48550/arxiv.1807.01119 · pith_short_12: EFCZB5N65BL6 · pith_short_16: EFCZB5N65BL6TR6D · pith_short_8: EFCZB5N6

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/EFCZB5N65BL6TR6DJGU54MFOTM \
  | 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: 214590f5bee857e9c7c349a9de30ae9b2c53c61071adc90268c3e3b2fdc5ae9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac281df91b2b6aab77a3aedcf9b6ec1df7e94f94ea1b77cc0732ff5200c1cf94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-03T12:31:58Z",
    "title_canon_sha256": "e8d8bd495c627e85213ee1300c41b6de212d4ffa01aa91d4eb7444e80d4cbd2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01119",
    "kind": "arxiv",
    "version": 1
  }
}