Pith Number

pith:RTRRWZLI

pith:2012:RTRRWZLIAECLO654XBJACFGOVC

not attested not anchored not stored refs pending

The Magnus embedding is a quasi-isometry

Svetla Vassileva

arxiv:1207.1830 v1 · 2012-07-07 · 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{RTRRWZLIAECLO654XBJACFGOVC}

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	2026-05-18T03:51:26.772160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ce31b65680104b77bbcb8520114cea89628ea142948191fc0e6b0291c51b66b

Aliases

arxiv: 1207.1830 · arxiv_version: 1207.1830v1 · doi: 10.48550/arxiv.1207.1830 · pith_short_12: RTRRWZLIAECL · pith_short_16: RTRRWZLIAECLO654 · pith_short_8: RTRRWZLI

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/RTRRWZLIAECLO654XBJACFGOVC \
  | 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: 8ce31b65680104b77bbcb8520114cea89628ea142948191fc0e6b0291c51b66b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b56cfb46ea82e44b6576163ee6a15b2c1c36756e267b400447cf252402ede42a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-07-07T22:36:12Z",
    "title_canon_sha256": "2ca91ca562f91a46cb8f3eb34bac2f9f840baa59e2f6c86cc4ebd4bfaa6fd9bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1830",
    "kind": "arxiv",
    "version": 1
  }
}