Pith Number

pith:FXMQDO4W

pith:2019:FXMQDO4WKDD3EKB3SVIRGHULJK

not attested not anchored not stored refs pending

Equitable vertex arboricity conjecture holds for graphs with low degeneracy

Bei Niu, Bi Li, Xin Zhang, Yan Li

arxiv:1908.05066 v3 · 2019-08-14 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXMQDO4WKDD3EKB3SVIRGHULJK}

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	2026-07-05T02:30:55.323055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dd901bb9650c7b2283b9551131e8b4a9379dac977629e02e905c020d8ac538e

Aliases

arxiv: 1908.05066 · arxiv_version: 1908.05066v3 · doi: 10.48550/arxiv.1908.05066 · pith_short_12: FXMQDO4WKDD3 · pith_short_16: FXMQDO4WKDD3EKB3 · pith_short_8: FXMQDO4W

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/FXMQDO4WKDD3EKB3SVIRGHULJK \
  | 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: 2dd901bb9650c7b2283b9551131e8b4a9379dac977629e02e905c020d8ac538e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de75b9797c6fe4c4f61cb0f7b4d235deecc7fe6b1a923332c7632145f8a848e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-14T10:54:28Z",
    "title_canon_sha256": "64fe69b788ba4fde74273df96f88bc360d340b40daacc216ade45e725519e45b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05066",
    "kind": "arxiv",
    "version": 3
  }
}