Pith Number

pith:HKLAHCZH

pith:2015:HKLAHCZH6DX2GCYYE7PPHZ7LI7

not attested not anchored not stored refs pending

Tur\'an numbers of extensions

Liana Yepremyan, Sergey Norin

arxiv:1510.04689 v1 · 2015-10-15 · 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{HKLAHCZH6DX2GCYYE7PPHZ7LI7}

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	2026-05-18T01:30:01.937936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a96038b27f0efa30b1827def3e7eb47db9b109be5f9f5cd6d8857a14ed23529

Aliases

arxiv: 1510.04689 · arxiv_version: 1510.04689v1 · doi: 10.48550/arxiv.1510.04689 · pith_short_12: HKLAHCZH6DX2 · pith_short_16: HKLAHCZH6DX2GCYY · pith_short_8: HKLAHCZH

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/HKLAHCZH6DX2GCYYE7PPHZ7LI7 \
  | 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: 3a96038b27f0efa30b1827def3e7eb47db9b109be5f9f5cd6d8857a14ed23529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a56a0611d4927947e3d32581eb2fad6e36c8901fdee278cd82982f59b8cb14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-15T19:59:31Z",
    "title_canon_sha256": "897d819af69834a43996eabcfafb7822341e314cd7eb4d3d9251a2ea0dd8eaab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04689",
    "kind": "arxiv",
    "version": 1
  }
}