Pith Number

pith:VNKTR56Z

pith:2018:VNKTR56Z2ZJWNAHUASKCHFTV3W

not attested not anchored not stored refs pending

The matching number of tree and bipartite degree sequences

D. Rautenbach, F. Bock

arxiv:1808.09650 v1 · 2018-08-29 · 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{VNKTR56Z2ZJWNAHUASKCHFTV3W}

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	2026-05-18T00:06:54.888947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab5538f7d9d6536680f40494239675ddbeb8385baa1459f8eb76f17d8b7d93a2

Aliases

arxiv: 1808.09650 · arxiv_version: 1808.09650v1 · doi: 10.48550/arxiv.1808.09650 · pith_short_12: VNKTR56Z2ZJW · pith_short_16: VNKTR56Z2ZJWNAHU · pith_short_8: VNKTR56Z

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/VNKTR56Z2ZJWNAHUASKCHFTV3W \
  | 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: ab5538f7d9d6536680f40494239675ddbeb8385baa1459f8eb76f17d8b7d93a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fdfd9575f81ec71510b010fa86b1a58315ab0ab9f8bf5ef34c830ff70521372",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-29T06:11:03Z",
    "title_canon_sha256": "dd0eb410177cb171e91750376fccfb537948e4b18d50ec15d5e7a7709693d2a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09650",
    "kind": "arxiv",
    "version": 1
  }
}