Pith Number

pith:35KGXSMR

pith:2000:35KGXSMR37P2Q3SRCUGJE2NPHU

not attested not anchored not stored refs pending

Symmetries and reversing symmetries of toral automorphisms

John A. G. Roberts (LaTrobe Univ., Melbourne), Michael Baake (Univ. Tuebingen)

arxiv:math/0006092 v1 · 2000-06-13 · 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{35KGXSMR37P2Q3SRCUGJE2NPHU}

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	2026-05-17T23:40:37.187095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df546bc991dfdfa86e51150c9269af3d0c1261c1e84318067ed6d3842da947f0

Aliases

arxiv: math/0006092 · arxiv_version: math/0006092v1 · doi: 10.48550/arxiv.math/0006092 · pith_short_12: 35KGXSMR37P2 · pith_short_16: 35KGXSMR37P2Q3SR · pith_short_8: 35KGXSMR

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/35KGXSMR37P2Q3SRCUGJE2NPHU \
  | 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: df546bc991dfdfa86e51150c9269af3d0c1261c1e84318067ed6d3842da947f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "190791432ba354322f60bf691ffb74d90c71ccfe4a6aea54a06a41a8dec813d4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2000-06-13T09:24:00Z",
    "title_canon_sha256": "673db71328c6cbe68fe0cf65c3c05f34705c0775b0bba9b53a96e8297010a76b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0006092",
    "kind": "arxiv",
    "version": 1
  }
}