Pith Number

pith:YK2TQWOB

pith:2012:YK2TQWOBFDQS5PXHJ6ZBCIQKRY

not attested not anchored not stored refs pending

A Generalization of the Convex Kakeya Problem

Antoine Vigneron, Hee-Kap Ahn, Joachim Gudmundsson, Otfried Cheong, Sang Won Bae, Takeshi Tokuyama

arxiv:1209.2171 v1 · 2012-09-10 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YK2TQWOBFDQS5PXHJ6ZBCIQKRY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:45:52.675016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b53859c128e12ebee74fb211220a8e06651fcef9223bb01868c8f0f95bf5aa

Aliases

arxiv: 1209.2171 · arxiv_version: 1209.2171v1 · doi: 10.48550/arxiv.1209.2171 · pith_short_12: YK2TQWOBFDQS · pith_short_16: YK2TQWOBFDQS5PXH · pith_short_8: YK2TQWOB

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/YK2TQWOBFDQS5PXHJ6ZBCIQKRY \
  | 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: c2b53859c128e12ebee74fb211220a8e06651fcef9223bb01868c8f0f95bf5aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3a2894d403465f899b3ebed47c8f1ef3f239b8fc2d10299ba7a364582ebc562",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-09-10T22:39:05Z",
    "title_canon_sha256": "fadc67eced12dfee4f1634e1c89fb358710caab0b5d3b4666a0301e30eff07c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2171",
    "kind": "arxiv",
    "version": 1
  }
}