Pith Number

pith:YGMBI7U5

pith:2017:YGMBI7U55EMBB2XHZOKSWXGVNH

not attested not anchored not stored refs pending

Kernels by properly colored paths in arc-colored digraphs

Shenggui Zhang, Shinya Fujita, Yandong Bai

arxiv:1704.08455 v1 · 2017-04-27 · 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{YGMBI7U55EMBB2XHZOKSWXGVNH}

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	2026-05-18T00:45:27.659231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c198147e9de91810eae7cb952b5cd569c2e918238b1d8c01c392a7f06792e40d

Aliases

arxiv: 1704.08455 · arxiv_version: 1704.08455v1 · doi: 10.48550/arxiv.1704.08455 · pith_short_12: YGMBI7U55EMB · pith_short_16: YGMBI7U55EMBB2XH · pith_short_8: YGMBI7U5

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/YGMBI7U55EMBB2XHZOKSWXGVNH \
  | 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: c198147e9de91810eae7cb952b5cd569c2e918238b1d8c01c392a7f06792e40d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8df80fa224fc21867dd2994b491a9a891ac5280711a653e0704c7353384e474",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-27T07:18:18Z",
    "title_canon_sha256": "6f34d1b58330badbb87350582f0d710f139d78daba9c5e836e6cf56ffc467836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08455",
    "kind": "arxiv",
    "version": 1
  }
}