Pith Number

pith:I2JEY4SS

pith:2024:I2JEY4SSA7L455UIXLZSZHCB44

not attested not anchored not stored refs pending

Pinned Dot Product Set Estimates

Caleb Marshall, Paige Bright, Steven Senger

arxiv:2412.17985 v1 · 2024-12-23 · math.CA · 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{I2JEY4SSA7L455UIXLZSZHCB44}

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.

Cited by

1 paper in Pith

On volume vectors determined by hypergraphs in thin subsets of Euclidean space

Receipt and verification

First computed	2026-07-05T09:53:31.910802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46924c725207d7cef688baf32c9c41e7033b77cf8add6a5597553c329f81e0e0

Aliases

arxiv: 2412.17985 · arxiv_version: 2412.17985v1 · doi: 10.48550/arxiv.2412.17985 · pith_short_12: I2JEY4SSA7L4 · pith_short_16: I2JEY4SSA7L455UI · pith_short_8: I2JEY4SS

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/I2JEY4SSA7L455UIXLZSZHCB44 \
  | 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: 46924c725207d7cef688baf32c9c41e7033b77cf8add6a5597553c329f81e0e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b898ae042f68f92bf8eb9e4ed9d21f44b292961cd8078d746d7831786e5af330",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-12-23T21:10:44Z",
    "title_canon_sha256": "635650dfd28fe5104a275c02c166201f963630d3a4c5941f195a043655478e62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17985",
    "kind": "arxiv",
    "version": 1
  }
}