Pith Number

pith:E7MO3UNZ

pith:2012:E7MO3UNZYSGSOUETNXX474A6DD

not attested not anchored not stored refs pending

On Possible Turan Densities

Oleg Pikhurko

arxiv:1204.4423 v3 · 2012-04-19 · 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{E7MO3UNZYSGSOUETNXX474A6DD}

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	2026-05-18T03:27:34.473094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d8edd1b9c48d2750936defcff01e18fa6680df92e384bc1238144cd52511e9

Aliases

arxiv: 1204.4423 · arxiv_version: 1204.4423v3 · doi: 10.48550/arxiv.1204.4423 · pith_short_12: E7MO3UNZYSGS · pith_short_16: E7MO3UNZYSGSOUET · pith_short_8: E7MO3UNZ

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/E7MO3UNZYSGSOUETNXX474A6DD \
  | 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: 27d8edd1b9c48d2750936defcff01e18fa6680df92e384bc1238144cd52511e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8813969a02ab526fdcd0a7cf26bf3dc02ac9b7f959020a65640868d76eedae65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-19T18:05:38Z",
    "title_canon_sha256": "919761d7968115bd7618f48310589bf39775ba248941c184761d62711e08404b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4423",
    "kind": "arxiv",
    "version": 3
  }
}