Pith Number

pith:VEILBZ3Y

pith:2019:VEILBZ3YLYD6KKDQRTCL2NF5AH

not attested not anchored not stored refs pending

On weak majority dimensions of digraphs

Soogang Eoh, Suh-Ryung Kim

arxiv:1903.09933 v1 · 2019-03-24 · 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{VEILBZ3YLYD6KKDQRTCL2NF5AH}

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	2026-05-17T23:50:35.032787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a910b0e7785e07e528708cc4bd34bd01c9e6881465a9cff814dbfac3a2744329

Aliases

arxiv: 1903.09933 · arxiv_version: 1903.09933v1 · doi: 10.48550/arxiv.1903.09933 · pith_short_12: VEILBZ3YLYD6 · pith_short_16: VEILBZ3YLYD6KKDQ · pith_short_8: VEILBZ3Y

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/VEILBZ3YLYD6KKDQRTCL2NF5AH \
  | 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: a910b0e7785e07e528708cc4bd34bd01c9e6881465a9cff814dbfac3a2744329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ecb03974950c2f4e5658f8c2f0c94e9b5cbb1373f71391ec74bcffd0f1b9340",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-24T06:42:08Z",
    "title_canon_sha256": "56b6b632ab0866c5274c9b097a3a295b9409dd84b45965a20a24c8acfa4cf668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09933",
    "kind": "arxiv",
    "version": 1
  }
}