Pith Number

pith:KAS7JKNJ

pith:2018:KAS7JKNJZVCIUMKZZILN4NKPQ7

not attested not anchored not stored refs pending

Some sharp results on the generalized Tur\'an numbers

Jie Ma, Yu Qiu

arxiv:1802.01091 v1 · 2018-02-04 · 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{KAS7JKNJZVCIUMKZZILN4NKPQ7}

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	2026-05-18T00:24:27.338366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5025f4a9a9cd448a3159ca16de354f87fc6c1c0326c14138aa029ba280dda22e

Aliases

arxiv: 1802.01091 · arxiv_version: 1802.01091v1 · doi: 10.48550/arxiv.1802.01091 · pith_short_12: KAS7JKNJZVCI · pith_short_16: KAS7JKNJZVCIUMKZ · pith_short_8: KAS7JKNJ

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/KAS7JKNJZVCIUMKZZILN4NKPQ7 \
  | 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: 5025f4a9a9cd448a3159ca16de354f87fc6c1c0326c14138aa029ba280dda22e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e819894bf735a15c9ff874d1392ca0e3625f089cfbe864090f01f135f81e9c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-04T08:31:34Z",
    "title_canon_sha256": "8c1079d8363662a5578342864fa88892350eddce96cd61c5d6ea1023d6b5b822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01091",
    "kind": "arxiv",
    "version": 1
  }
}