Pith Number

pith:D75U4Q7J

pith:2011:D75U4Q7JRDSCROPVQOXQVTKAIT

not attested not anchored not stored refs pending

Kakeya sets over non-archimedean local rings

Evan P. Dummit, M\'arton Hablicsek

arxiv:1112.3381 v1 · 2011-12-14 · 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{D75U4Q7JRDSCROPVQOXQVTKAIT}

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	2026-05-18T03:02:44.070940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ffb4e43e988e428b9f583af0acd4044ff3c067e092d05299096d0244e3b0cf6

Aliases

arxiv: 1112.3381 · arxiv_version: 1112.3381v1 · doi: 10.48550/arxiv.1112.3381 · pith_short_12: D75U4Q7JRDSC · pith_short_16: D75U4Q7JRDSCROPV · pith_short_8: D75U4Q7J

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/D75U4Q7JRDSCROPVQOXQVTKAIT \
  | 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: 1ffb4e43e988e428b9f583af0acd4044ff3c067e092d05299096d0244e3b0cf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e564a3495c048102986f53cb935bfd79894dec8aec8e9be6dd86a4bf7788d36c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-14T22:30:31Z",
    "title_canon_sha256": "81e2366138ff4941a37cecd3b286813bea5aa7536f36c9aacf697bb6831f2efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3381",
    "kind": "arxiv",
    "version": 1
  }
}