Pith Number

pith:HPANOQAX

pith:2014:HPANOQAXSGVFS7ZBESVJ4KO7GX

not attested not anchored not stored refs pending

Stable regions of Tur\'an expressions

Lukasz Grabarek, Matthew Chasse, Mirk\'o Visontai

arxiv:1405.1638 v2 · 2014-05-07 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPANOQAXSGVFS7ZBESVJ4KO7GX}

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	2026-05-18T02:28:47.874637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bc0d7401791aa597f2124aa9e29df35dafd9a650a4a0317aee6a5ae6b47831f

Aliases

arxiv: 1405.1638 · arxiv_version: 1405.1638v2 · doi: 10.48550/arxiv.1405.1638 · pith_short_12: HPANOQAXSGVF · pith_short_16: HPANOQAXSGVFS7ZB · pith_short_8: HPANOQAX

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/HPANOQAXSGVFS7ZBESVJ4KO7GX \
  | 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: 3bc0d7401791aa597f2124aa9e29df35dafd9a650a4a0317aee6a5ae6b47831f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6108b263fa12899a6febaea7bd5804c8e51eb69c3e412c1254303dfe2b8a3e33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-05-07T15:22:04Z",
    "title_canon_sha256": "65fd4c295379c243b241127c21cbec5b16cfc52c92a4b1ac63487f9cbbe210c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1638",
    "kind": "arxiv",
    "version": 2
  }
}