Pith Number

pith:QXM2NLBR

pith:2026:QXM2NLBRLUSQVDF3BZX56SNFNS

not attested not anchored not stored refs pending

Curved Kakeya problems and the projective geometry of paths

Arian Nadjimzadah, Larry Guth, Minxing Shen, Ruixiang Zhang, Shaoming Guo

arxiv:2607.27629 v1 · 2026-07-30 · math.CA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXM2NLBRLUSQVDF3BZX56SNFNS}

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	2026-07-31T01:28:33.638562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

85d9a6ac315d250a8cbb0e6fdf49a56cb8510299df28a8d9d180d39891b7c2d3

Aliases

arxiv: 2607.27629 · arxiv_version: 2607.27629v1 · doi: 10.48550/arxiv.2607.27629 · pith_short_12: QXM2NLBRLUSQ · pith_short_16: QXM2NLBRLUSQVDF3 · pith_short_8: QXM2NLBR

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/QXM2NLBRLUSQVDF3BZX56SNFNS \
  | 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: 85d9a6ac315d250a8cbb0e6fdf49a56cb8510299df28a8d9d180d39891b7c2d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d27c77dde95d0c7f3983255b30e52314c9252e98b617af1042e790b5ae2e477",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-30T03:38:02Z",
    "title_canon_sha256": "42647b7d592b3a690675881434a49e42a2b752c4030c2c57e270d51fb6cc856c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27629",
    "kind": "arxiv",
    "version": 1
  }
}