Pith Number

pith:N5RJIQHW

pith:2012:N5RJIQHW6O7JPQ6ZYYLXJI3MZL

not attested not anchored not stored refs pending

Commensurability and representation equivalent arithmetic lattices

Chandrasheel Bhagwat, C. S. Rajan, Supriya Pisolkar

arxiv:1207.3891 v2 · 2012-07-17 · math.NT · math.DG · math.GR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N5RJIQHW6O7JPQ6ZYYLXJI3MZL}

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	2026-05-18T03:39:04.980837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f629440f6f3be97c3d9c61774a36ccac495fd550e90145e4f6d48364edbe1ed

Aliases

arxiv: 1207.3891 · arxiv_version: 1207.3891v2 · doi: 10.48550/arxiv.1207.3891 · pith_short_12: N5RJIQHW6O7J · pith_short_16: N5RJIQHW6O7JPQ6Z · pith_short_8: N5RJIQHW

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/N5RJIQHW6O7JPQ6ZYYLXJI3MZL \
  | 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: 6f629440f6f3be97c3d9c61774a36ccac495fd550e90145e4f6d48364edbe1ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ce1d17462b04cb8df086b452a289b0b12472c3ebd4216104382e05ae29fbbd8",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-17T06:35:39Z",
    "title_canon_sha256": "cc08583e8f570597aa09043a20718880e0e96a9ad3c4e1c4ae08323151d781b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3891",
    "kind": "arxiv",
    "version": 2
  }
}