Pith Number

pith:6RXC4Q44

pith:2014:6RXC4Q44ZM2ZXAFMBUSHKMYICW

not attested not anchored not stored refs pending

Linear Turan numbers of r-uniform linear cycles and related Ramsey numbers

Clayton Collier-Cartaino, Nathan Graber, Tao Jiang

arxiv:1404.5015 v2 · 2014-04-20 · 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{6RXC4Q44ZM2ZXAFMBUSHKMYICW}

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	2026-05-18T02:53:28.409519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f46e2e439ccb359b80ac0d2475330815926693076d842ed82dadc53ebc745a59

Aliases

arxiv: 1404.5015 · arxiv_version: 1404.5015v2 · doi: 10.48550/arxiv.1404.5015 · pith_short_12: 6RXC4Q44ZM2Z · pith_short_16: 6RXC4Q44ZM2ZXAFM · pith_short_8: 6RXC4Q44

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/6RXC4Q44ZM2ZXAFMBUSHKMYICW \
  | 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: f46e2e439ccb359b80ac0d2475330815926693076d842ed82dadc53ebc745a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0cbbb5c99e9b2424c0b892f41dd1102f3e25e038133e1a9f2e27e068aa041b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-20T05:41:23Z",
    "title_canon_sha256": "ff9409ebdb63d0d81ccf659b2bd6c0010ceb0be31cea9ac3abc2c83d71ed2911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5015",
    "kind": "arxiv",
    "version": 2
  }
}