Pith Number

pith:O6ZSL4HR

pith:2018:O6ZSL4HRDH5LOLHKGGKFZ5VPOZ

not attested not anchored not stored refs pending

Tur\'an, involution and shifting

Eran Nevo, Gil Kalai

arxiv:1802.03648 v1 · 2018-02-10 · 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{O6ZSL4HRDH5LOLHKGGKFZ5VPOZ}

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	2026-05-18T00:23:50.870426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77b325f0f119fab72cea31945cf6af765e22326cb5fb9a54d97dbaf78ba703ca

Aliases

arxiv: 1802.03648 · arxiv_version: 1802.03648v1 · doi: 10.48550/arxiv.1802.03648 · pith_short_12: O6ZSL4HRDH5L · pith_short_16: O6ZSL4HRDH5LOLHK · pith_short_8: O6ZSL4HR

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/O6ZSL4HRDH5LOLHKGGKFZ5VPOZ \
  | 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: 77b325f0f119fab72cea31945cf6af765e22326cb5fb9a54d97dbaf78ba703ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "945eef25897c9b127e90e181674abf7e45ee42829c346c8a84118e5c58b39583",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-10T20:19:48Z",
    "title_canon_sha256": "1c18fe34e003f7ad4c9146cbd849a719a8b48ab687f22c6a8a2775c3699b3466"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03648",
    "kind": "arxiv",
    "version": 1
  }
}