Pith Number

pith:S463OLGL

pith:2012:S463OLGLR3Y7DSZSHYTY5OXEQY

not attested not anchored not stored refs pending

Further improvements to incidence and Beck-type bounds over prime finite fields

Timothy G. F. Jones

arxiv:1206.4517 v1 · 2012-06-20 · 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{S463OLGLR3Y7DSZSHYTY5OXEQY}

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	2026-05-18T03:53:05.586390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

973db72ccb8ef1f1cb323e278ebae48636cdbb7ee3a5708ff182b943a2b3ea22

Aliases

arxiv: 1206.4517 · arxiv_version: 1206.4517v1 · doi: 10.48550/arxiv.1206.4517 · pith_short_12: S463OLGLR3Y7 · pith_short_16: S463OLGLR3Y7DSZS · pith_short_8: S463OLGL

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/S463OLGLR3Y7DSZSHYTY5OXEQY \
  | 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: 973db72ccb8ef1f1cb323e278ebae48636cdbb7ee3a5708ff182b943a2b3ea22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4297d3e42e7355efa1bc6163a1137598ae0cc8d5dc7631061482d9a486356c55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-20T14:51:33Z",
    "title_canon_sha256": "d72cb9fafe33374113a53b6c46fc2a907414875be438c2b5f81b758af9eba57a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4517",
    "kind": "arxiv",
    "version": 1
  }
}