Pith Number

pith:KT2RTOLL

pith:2026:KT2RTOLLSRJ3LXCPCLRYOWHC4J

not attested not anchored not stored refs pending

Paths of even length with equal-degree endpoints

Kaizhe Chen, Qinghou Zeng, Zhen Liu

arxiv:2607.04368 v1 · 2026-07-05 · 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{KT2RTOLLSRJ3LXCPCLRYOWHC4J}

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	2026-07-07T02:19:11.047775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54f519b96b9453b5dc4f12e38758e2e2616ac2b275efce0fc91d4d523b48bb79

Aliases

arxiv: 2607.04368 · arxiv_version: 2607.04368v1 · doi: 10.48550/arxiv.2607.04368 · pith_short_12: KT2RTOLLSRJ3 · pith_short_16: KT2RTOLLSRJ3LXCP · pith_short_8: KT2RTOLL

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/KT2RTOLLSRJ3LXCPCLRYOWHC4J \
  | 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: 54f519b96b9453b5dc4f12e38758e2e2616ac2b275efce0fc91d4d523b48bb79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8348174be2a4a8502484c5dc651a07e38220bd718e4a367b670a9697eed18ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-05T15:54:44Z",
    "title_canon_sha256": "083481757b19b340b0929e4844110f13072d3d8a8cdaedd722e3a62fa1b6dca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04368",
    "kind": "arxiv",
    "version": 1
  }
}