Pith Number

pith:7IZGOLDO

pith:2013:7IZGOLDOGJFTZGJRKPGIWA3UBL

not attested not anchored not stored refs pending

Weakly commensurable groups, with applications to differential geometry

Andrei S. Rapinchuk, Gopal Prasad

arxiv:1307.1479 v2 · 2013-07-04 · math.GR · math.DG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IZGOLDOGJFTZGJRKPGIWA3UBL}

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	2026-05-18T03:06:32.502078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa32672c6e324b3c993153cc8b03740acc8a390d75824e6d031ce8b26ec9d8d3

Aliases

arxiv: 1307.1479 · arxiv_version: 1307.1479v2 · doi: 10.48550/arxiv.1307.1479 · pith_short_12: 7IZGOLDOGJFT · pith_short_16: 7IZGOLDOGJFTZGJR · pith_short_8: 7IZGOLDO

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/7IZGOLDOGJFTZGJRKPGIWA3UBL \
  | 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: fa32672c6e324b3c993153cc8b03740acc8a390d75824e6d031ce8b26ec9d8d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "374724b62559a206a7eadc71c8a67d1532f1b9598db821ba5f90d5139c0b259f",
    "cross_cats_sorted": [
      "math.DG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-07-04T20:08:29Z",
    "title_canon_sha256": "bdd93365ff000eb251f0fbd35816201a81cd33e61c737b53f8bec13e87fa762f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1479",
    "kind": "arxiv",
    "version": 2
  }
}