Pith Number

pith:HHIRV7PN

pith:2014:HHIRV7PNM6RRRIVU7IRDF4RF52

not attested not anchored not stored refs pending

Strong Tur\'an stability

Andrew J. Uzzell, Mykhaylo Tyomkyn

arxiv:1409.8665 v1 · 2014-09-30 · 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{HHIRV7PNM6RRRIVU7IRDF4RF52}

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	2026-05-18T02:41:19.076243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d11afded67a318a2b4fa2232f225eeb1b0f86082cb0787ce095af5fcf6900d

Aliases

arxiv: 1409.8665 · arxiv_version: 1409.8665v1 · doi: 10.48550/arxiv.1409.8665 · pith_short_12: HHIRV7PNM6RR · pith_short_16: HHIRV7PNM6RRRIVU · pith_short_8: HHIRV7PN

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/HHIRV7PNM6RRRIVU7IRDF4RF52 \
  | 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: 39d11afded67a318a2b4fa2232f225eeb1b0f86082cb0787ce095af5fcf6900d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528aae774da077b9ef297800a0463b0f164808ccf9be743f454b6facce346748",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-30T19:31:03Z",
    "title_canon_sha256": "4a5b9008dee5e704e46e0b44bcc385103d0aeb0b1eb6a5db55b8e9a699a0321b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8665",
    "kind": "arxiv",
    "version": 1
  }
}