Pith Number

pith:2RWLUWTV

pith:2016:2RWLUWTVQSZ5LLYWFIAFMHBQQJ

not attested not anchored not stored refs pending

Tur\'an numbers for disjoint paths

Long-tu Yuan, Xiao-Dong Zhang

arxiv:1611.00981 v1 · 2016-11-03 · 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{2RWLUWTVQSZ5LLYWFIAFMHBQQJ}

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	2026-05-18T01:00:18.027130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d46cba5a7584b3d5af162a00561c30825c9c541365dccd0a79c635e19efca111

Aliases

arxiv: 1611.00981 · arxiv_version: 1611.00981v1 · doi: 10.48550/arxiv.1611.00981 · pith_short_12: 2RWLUWTVQSZ5 · pith_short_16: 2RWLUWTVQSZ5LLYW · pith_short_8: 2RWLUWTV

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/2RWLUWTVQSZ5LLYWFIAFMHBQQJ \
  | 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: d46cba5a7584b3d5af162a00561c30825c9c541365dccd0a79c635e19efca111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77b81fb535f19714bc16e55b3b0ca3f99d2a3fdfa6b6aac6264f80381b4d60b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-03T12:38:35Z",
    "title_canon_sha256": "7fb2c3a60e4fe79d691fb3b0992b8e580775f1bc3a7388a69574197ceeffc081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00981",
    "kind": "arxiv",
    "version": 1
  }
}