Pith Number

pith:FRDVA732

pith:2013:FRDVA732KHAFDU2JSIMJZZC7CE

not attested not anchored not stored refs pending

Lattices of oscillator groups

Mathias Fischer

arxiv:1303.1970 v2 · 2013-03-08 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRDVA732KHAFDU2JSIMJZZC7CE}

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	2026-05-18T03:17:00.158604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c47507f7a51c051d34992189ce45f113e42bcf174082e75aa8143146500baf7

Aliases

arxiv: 1303.1970 · arxiv_version: 1303.1970v2 · doi: 10.48550/arxiv.1303.1970 · pith_short_12: FRDVA732KHAF · pith_short_16: FRDVA732KHAFDU2J · pith_short_8: FRDVA732

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/FRDVA732KHAFDU2JSIMJZZC7CE \
  | 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: 2c47507f7a51c051d34992189ce45f113e42bcf174082e75aa8143146500baf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9d8e9fd06586c2b889eed799d9e707f9e4644d4c9d59430566a45a7a652243",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-03-08T12:27:17Z",
    "title_canon_sha256": "589b9f7937b42c36a4c9bd62f3ea496e66e1bee4e58b50c49a04fb4819304df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1970",
    "kind": "arxiv",
    "version": 2
  }
}