Pith Number

pith:BTVMQ3IV

pith:2011:BTVMQ3IVXRGQ73OX7Q3YRLJ2W4

not attested not anchored not stored refs pending

Fixed points of coprime operator groups

C. Acciarri, P. Shumyatsky

arxiv:1108.0698 v1 · 2011-08-02 · 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{BTVMQ3IVXRGQ73OX7Q3YRLJ2W4}

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	2026-05-18T04:16:22.131736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ceac86d15bc4d0fedd7fc3788ad3ab72a606483ca275860fc282128674e3638

Aliases

arxiv: 1108.0698 · arxiv_version: 1108.0698v1 · doi: 10.48550/arxiv.1108.0698 · pith_short_12: BTVMQ3IVXRGQ · pith_short_16: BTVMQ3IVXRGQ73OX · pith_short_8: BTVMQ3IV

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/BTVMQ3IVXRGQ73OX7Q3YRLJ2W4 \
  | 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: 0ceac86d15bc4d0fedd7fc3788ad3ab72a606483ca275860fc282128674e3638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda639d34df1a44ee1539ae6e7982b031c683fafa1dd395147ae99d5ce5620bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-02T21:44:18Z",
    "title_canon_sha256": "edec2a1eb1209f324f0bd8ad4bd9f1682f7aa845da8e2bde599760d7e7878a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0698",
    "kind": "arxiv",
    "version": 1
  }
}