Pith Number

pith:JFXGYDA7

pith:2019:JFXGYDA7FDZJPRSJWXXWMXJRKX

not attested not anchored not stored refs pending

A conjecture of Verstra\"ete on vertex-disjoint cycles

Jie Ma, Jun Gao

arxiv:1906.03206 v1 · 2019-06-07 · 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{JFXGYDA7FDZJPRSJWXXWMXJRKX}

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	2026-05-17T23:43:54.687039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

496e6c0c1f28f297c649b5ef665d3155e9d4f7c5fb5c1432c884a78d1715370d

Aliases

arxiv: 1906.03206 · arxiv_version: 1906.03206v1 · doi: 10.48550/arxiv.1906.03206 · pith_short_12: JFXGYDA7FDZJ · pith_short_16: JFXGYDA7FDZJPRSJ · pith_short_8: JFXGYDA7

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/JFXGYDA7FDZJPRSJWXXWMXJRKX \
  | 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: 496e6c0c1f28f297c649b5ef665d3155e9d4f7c5fb5c1432c884a78d1715370d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f301d0f9239b5b3277a11d8454bd1921cbc3ef0efc392bc02f924f2cc233b18a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-07T16:14:56Z",
    "title_canon_sha256": "428394d3d0c204091f5e76741bbb7aa5194a4adc5ad302a4132a0b594388511e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03206",
    "kind": "arxiv",
    "version": 1
  }
}