Pith Number

pith:OOPUZLPB

pith:2013:OOPUZLPB5ISDNRET4CMTDB3UNT

not attested not anchored not stored refs pending

A note on trace fields of complex hyperbolic groups

Heleno Cunha, Nikolay Gusevskii

arxiv:1303.1701 v1 · 2013-03-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOPUZLPB5ISDNRET4CMTDB3UNT}

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	2026-05-18T03:31:33.393670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739f4cade1ea2436c493e0993187746cc150074b0cc7e6628c7a24088c8933c8

Aliases

arxiv: 1303.1701 · arxiv_version: 1303.1701v1 · doi: 10.48550/arxiv.1303.1701 · pith_short_12: OOPUZLPB5ISD · pith_short_16: OOPUZLPB5ISDNRET · pith_short_8: OOPUZLPB

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/OOPUZLPB5ISDNRET4CMTDB3UNT \
  | 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: 739f4cade1ea2436c493e0993187746cc150074b0cc7e6628c7a24088c8933c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc5fe2409824d40f3c6ca1c3e88012acc77c2083463829361929d93e2a0f0a42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-07T14:26:02Z",
    "title_canon_sha256": "9ca231aa1c862bd5bb41ee6b36fc9cc73690a5d4021ec73532a685c25b00e624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1701",
    "kind": "arxiv",
    "version": 1
  }
}