Pith Number

pith:WOQJAXET

pith:2018:WOQJAXETCL6435OHAJDTJB7KZQ

not attested not anchored not stored refs pending

The Tur\'an problem for a family of tight linear forests

Jian Wang, Weihua Yang

arxiv:1812.01940 v2 · 2018-12-05 · 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{WOQJAXETCL6435OHAJDTJB7KZQ}

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	2026-05-17T23:58:47.080532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3a0905c9312fdcdf5c702473487eacc217a2b9577eabd0a4a64e167184f6c99

Aliases

arxiv: 1812.01940 · arxiv_version: 1812.01940v2 · doi: 10.48550/arxiv.1812.01940 · pith_short_12: WOQJAXETCL64 · pith_short_16: WOQJAXETCL6435OH · pith_short_8: WOQJAXET

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/WOQJAXETCL6435OHAJDTJB7KZQ \
  | 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: b3a0905c9312fdcdf5c702473487eacc217a2b9577eabd0a4a64e167184f6c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bc33a2541b01a20bfc7fa90dc72675b129ec1a79900dee245cbddc23df3f189",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-05T12:05:39Z",
    "title_canon_sha256": "3ea7b22b9f9e1f77c9f7c4353c29eabce0732858e713b11c8de201614c8c8263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01940",
    "kind": "arxiv",
    "version": 2
  }
}