Pith Number

pith:OFLWV3FO

pith:2016:OFLWV3FOE4BQRZDTNLRJATLOPH

not attested not anchored not stored refs pending

Tur\'an problems for digraphs avoiding distinct walks of a given length with the same endpoints

Pu Qiao, Zejun Huang, Zhenhua Lyu

arxiv:1608.06170 v1 · 2016-08-22 · 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{OFLWV3FOE4BQRZDTNLRJATLOPH}

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	2026-05-18T01:08:22.075082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71576aecae270308e4736ae2904d6e79fe8fa2dc3ddeb72cd2ed4d6237c7ddcb

Aliases

arxiv: 1608.06170 · arxiv_version: 1608.06170v1 · doi: 10.48550/arxiv.1608.06170 · pith_short_12: OFLWV3FOE4BQ · pith_short_16: OFLWV3FOE4BQRZDT · pith_short_8: OFLWV3FO

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/OFLWV3FOE4BQRZDTNLRJATLOPH \
  | 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: 71576aecae270308e4736ae2904d6e79fe8fa2dc3ddeb72cd2ed4d6237c7ddcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc14c60ceb5fc4e77464ebacfed96f3f0061691d65ebe080546e8893d13246b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-22T14:05:28Z",
    "title_canon_sha256": "9f3d4e36587cdd4fae20eb15ea05dc445fce1097e25e8da43da636b7a744037b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06170",
    "kind": "arxiv",
    "version": 1
  }
}