Pith Number

pith:N6JS73ST

pith:2011:N6JS73STEQWWSABUGYSKBMTLRR

not attested not anchored not stored refs pending

Tur\'an's problem and generalized Ramsey numbers

Zhi-Hong Sun

arxiv:1101.0334 v3 · 2011-01-01 · 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{N6JS73STEQWWSABUGYSKBMTLRR}

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	2026-05-18T02:38:37.662831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f932fee53242d6900343624a0b26b8c5948464b40970249fceda9f54b57ea9e

Aliases

arxiv: 1101.0334 · arxiv_version: 1101.0334v3 · doi: 10.48550/arxiv.1101.0334 · pith_short_12: N6JS73STEQWW · pith_short_16: N6JS73STEQWWSABU · pith_short_8: N6JS73ST

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/N6JS73STEQWWSABUGYSKBMTLRR \
  | 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: 6f932fee53242d6900343624a0b26b8c5948464b40970249fceda9f54b57ea9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c92fdc29e2f4c88a07809ec326aa437b142ac7d551e5e4b3ca7e9b9feb53e3d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-01T12:38:17Z",
    "title_canon_sha256": "b190bd415a950148bd8a83dd9eb2b89b5c811660a330628577752b03f570db5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0334",
    "kind": "arxiv",
    "version": 3
  }
}