Pith Number

pith:FEY7TMNC

pith:2023:FEY7TMNCCNEXSU6OECUOX6OFJE

not attested not anchored not stored refs pending

Tur\'{a}n's Theorem Through Algorithmic Lens

Danil Sagunov, Fedor V. Fomin, Kirill Simonov, Petr A. Golovach

arxiv:2307.07456 v1 · 2023-07-14 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FEY7TMNCCNEXSU6OECUOX6OFJE}

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	2026-07-05T06:30:55.969231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2931f9b1a213497953ce20a8ebf9c54926ea47db36fac5366e32688736864b7c

Aliases

arxiv: 2307.07456 · arxiv_version: 2307.07456v1 · doi: 10.48550/arxiv.2307.07456 · pith_short_12: FEY7TMNCCNEX · pith_short_16: FEY7TMNCCNEXSU6O · pith_short_8: FEY7TMNC

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/FEY7TMNCCNEXSU6OECUOX6OFJE \
  | 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: 2931f9b1a213497953ce20a8ebf9c54926ea47db36fac5366e32688736864b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7135ba4d1be0f98ae7473349a21ffe811db33eedd4e2b1850ff21e7165de4f2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2023-07-14T16:33:47Z",
    "title_canon_sha256": "05befa6f5d33fab84e5685639beb62dce4d0f7182036fbb3e9fcd4e2e5b4c285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.07456",
    "kind": "arxiv",
    "version": 1
  }
}