Pith Number

pith:Q2QE2F7G

pith:2013:Q2QE2F7GB6IUIEZHZHK5UCMSC6

not attested not anchored not stored refs pending

Kakeya Configurations in Lie Groups and Homogeneous Spaces

Brendan Murphy, Jonathan Pakianathan

arxiv:1303.0895 v1 · 2013-03-04 · math.AT · math.CA · math.GT · 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{Q2QE2F7GB6IUIEZHZHK5UCMSC6}

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	2026-05-18T03:31:53.532709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a04d17e60f91441327c9d5da099217b90cbef9ffe6ff72228f1e896cd912c2

Aliases

arxiv: 1303.0895 · arxiv_version: 1303.0895v1 · doi: 10.48550/arxiv.1303.0895 · pith_short_12: Q2QE2F7GB6IU · pith_short_16: Q2QE2F7GB6IUIEZH · pith_short_8: Q2QE2F7G

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/Q2QE2F7GB6IUIEZHZHK5UCMSC6 \
  | 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: 86a04d17e60f91441327c9d5da099217b90cbef9ffe6ff72228f1e896cd912c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8aa04cb580398d81b99ae24b066614e25697eda8eb493538f82c66e3218f0e0",
    "cross_cats_sorted": [
      "math.CA",
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-03-04T23:58:30Z",
    "title_canon_sha256": "c9a1ab98c876724a64ca3c072862bba271c5d4d58de1e3e913e44c876ffe39b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0895",
    "kind": "arxiv",
    "version": 1
  }
}