Pith Number

pith:7BJYLSKJ

pith:2025:7BJYLSKJGTD3AX5THA26UWMZ53

not attested not anchored not stored refs pending

Proof of a conjecture of Voss on bridges of longest cycles

Jie Ma, Rongxing Xu

arxiv:2509.06345 v1 · 2025-09-08 · 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{7BJYLSKJGTD3AX5THA26UWMZ53}

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	2026-07-05T12:06:34.123764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f85385c94934c7b05fb33835ea5999eef7d613427610f1afd90d3b51ae06b956

Aliases

arxiv: 2509.06345 · arxiv_version: 2509.06345v1 · doi: 10.48550/arxiv.2509.06345 · pith_short_12: 7BJYLSKJGTD3 · pith_short_16: 7BJYLSKJGTD3AX5T · pith_short_8: 7BJYLSKJ

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/7BJYLSKJGTD3AX5THA26UWMZ53 \
  | 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: f85385c94934c7b05fb33835ea5999eef7d613427610f1afd90d3b51ae06b956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3571167f0dc3dd4573d3340a543c4d0790baa7ab2f95c2a1f9ab25ec196a361a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-08T05:34:53Z",
    "title_canon_sha256": "d2c21d52305f2c691e1ef8d82eb328580c4bda7eecb54e327cef63da82e3b93f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06345",
    "kind": "arxiv",
    "version": 1
  }
}