Pith Number

pith:3NR2RA4C

pith:2025:3NR2RA4CRQ6NOES3E3IIHP53BU

not attested not anchored not stored refs pending

Multidimensional contracted rotations

Benito Pires, Jose Pedro Gaivao

arxiv:2509.17639 v2 · 2025-09-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NR2RA4CRQ6NOES3E3IIHP53BU}

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	2026-06-12T01:09:13.898610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db63a883828c3cd7125b26d083bfbb0d18d72a1abf10381b2ecc659c5e0a36d7

Aliases

arxiv: 2509.17639 · arxiv_version: 2509.17639v2 · doi: 10.48550/arxiv.2509.17639 · pith_short_12: 3NR2RA4CRQ6N · pith_short_16: 3NR2RA4CRQ6NOES3 · pith_short_8: 3NR2RA4C

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/3NR2RA4CRQ6NOES3E3IIHP53BU \
  | 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: db63a883828c3cd7125b26d083bfbb0d18d72a1abf10381b2ecc659c5e0a36d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f58f400afebe4ede0b65f68cff775c7d6ac3f43c7f3faf2a1e91f52ee094cfbf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-09-22T11:45:12Z",
    "title_canon_sha256": "38793e7c3750d74e9e69bfd460288595b4063e2bcb22fc2ca8b4af6aee0605b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.17639",
    "kind": "arxiv",
    "version": 2
  }
}