Pith Number

pith:7SN2TYLO

pith:2016:7SN2TYLO4OG6U5J7I3DMQSISPW

not attested not anchored not stored refs pending

Coverings: variations on a result of Rogers and on the Epsilon-net theorem of Haussler and Welzl

J\'anos Nagy, M\'arton Nasz\'odi, N\'ora Frankl

arxiv:1607.02888 v3 · 2016-07-11 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SN2TYLO4OG6U5J7I3DMQSISPW}

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	2026-05-18T00:49:06.714211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc9ba9e16ee38dea753f46c6c849127dbc09334cf3df367128acbfbba8716eca

Aliases

arxiv: 1607.02888 · arxiv_version: 1607.02888v3 · doi: 10.48550/arxiv.1607.02888 · pith_short_12: 7SN2TYLO4OG6 · pith_short_16: 7SN2TYLO4OG6U5J7 · pith_short_8: 7SN2TYLO

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/7SN2TYLO4OG6U5J7I3DMQSISPW \
  | 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: fc9ba9e16ee38dea753f46c6c849127dbc09334cf3df367128acbfbba8716eca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d67ced3619df16c4cf87ab05b57ee1aae44d2525194d2502860d0cb49c3d9e4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-07-11T10:18:05Z",
    "title_canon_sha256": "1564a55eb435fc6bebdd057d0263734a238bd960ad372294ac145cc44c88e631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02888",
    "kind": "arxiv",
    "version": 3
  }
}