Pith Number

pith:CBAW2O73

pith:2012:CBAW2O73HNYSG6VG7YD2RWUK4Z

not attested not anchored not stored refs pending

Orbit Representations from Linear mod 1 Transformations

Carlos Correia Ramos, Nuno Martins, Paulo R. Pinto

arxiv:1205.3553 v1 · 2012-05-16 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBAW2O73HNYSG6VG7YD2RWUK4Z}

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	2026-05-18T03:55:34.819729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10416d3bfb3b71237aa6fe07a8da8ae661f8aec9d3109033efc9cea7a5eb130b

Aliases

arxiv: 1205.3553 · arxiv_version: 1205.3553v1 · doi: 10.48550/arxiv.1205.3553 · pith_short_12: CBAW2O73HNYS · pith_short_16: CBAW2O73HNYSG6VG · pith_short_8: CBAW2O73

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/CBAW2O73HNYSG6VG7YD2RWUK4Z \
  | 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: 10416d3bfb3b71237aa6fe07a8da8ae661f8aec9d3109033efc9cea7a5eb130b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "259ea7b0a42753ce68f5a3d1f1c213e99b0489c98636104eb77f426b4a56fd4e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-05-16T05:16:37Z",
    "title_canon_sha256": "874abcba88efa593bd0b6bf222a21a146c2e243e8012ab07d32cfebf082f7b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3553",
    "kind": "arxiv",
    "version": 1
  }
}