Pith Number

pith:V6RNSRMI

pith:2017:V6RNSRMI5S6L2OVPLCIYNJEOGQ

not attested not anchored not stored refs pending

A Generalized Tur\'an Problem and its Applications

Asaf Shapira, Lior Gishboliner

arxiv:1712.00831 v1 · 2017-12-03 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6RNSRMI5S6L2OVPLCIYNJEOGQ}

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	2026-05-18T00:29:00.287681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afa2d94588ecbcbd3aaf589186a48e34194ff8030dfe91f1b93e69653b20f9ce

Aliases

arxiv: 1712.00831 · arxiv_version: 1712.00831v1 · doi: 10.48550/arxiv.1712.00831 · pith_short_12: V6RNSRMI5S6L · pith_short_16: V6RNSRMI5S6L2OVP · pith_short_8: V6RNSRMI

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/V6RNSRMI5S6L2OVPLCIYNJEOGQ \
  | 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: afa2d94588ecbcbd3aaf589186a48e34194ff8030dfe91f1b93e69653b20f9ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c29a11066063ac5c06b91055fb05293d840a4acc349d9375777e17a383b0ac65",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-03T20:15:43Z",
    "title_canon_sha256": "85c5d97a2eb230f7758434ea93b54a51578a49ed6aa310c1d19201ef73cc044e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00831",
    "kind": "arxiv",
    "version": 1
  }
}