Pith Number

pith:VCOBON7J

pith:2017:VCOBON7JK327MYG7GDAF2Z4RJA

not attested not anchored not stored refs pending

Strong immersion is a well-quasi-ordering for semi-complete digraphs

Christophe Paul, Florian Barbero, Michal Pilipczuk

arxiv:1707.03563 v1 · 2017-07-12 · 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{VCOBON7JK327MYG7GDAF2Z4RJA}

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	2026-05-18T00:40:25.640988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89c1737e956f5f660df30c05d679148057ba1d1e4e06cac3c174d1c05314988

Aliases

arxiv: 1707.03563 · arxiv_version: 1707.03563v1 · doi: 10.48550/arxiv.1707.03563 · pith_short_12: VCOBON7JK327 · pith_short_16: VCOBON7JK327MYG7 · pith_short_8: VCOBON7J

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/VCOBON7JK327MYG7GDAF2Z4RJA \
  | 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: a89c1737e956f5f660df30c05d679148057ba1d1e4e06cac3c174d1c05314988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a43ca8af0ce332677c4648396b62db24f4bc5c7da7906d2e3ad8e87a9dfcef5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-07-12T06:46:10Z",
    "title_canon_sha256": "e6ac6896e746bd53a1a62fa786f44ce1e2c205a03dc14ff2c60d9dc1afca9204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03563",
    "kind": "arxiv",
    "version": 1
  }
}