Pith Number

pith:MXMCZ2QP

pith:1995:MXMCZ2QPWPB63ZVEGQIKJW26ZE

not attested not anchored not stored refs pending

On the Margulis constant for Kleinian groups, I curvature

F. W. Gehring, G. J. Martin

arxiv:math/9504209 v1 · 1995-04-07 · 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{MXMCZ2QPWPB63ZVEGQIKJW26ZE}

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	2026-05-18T01:05:50.278890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d82cea0fb3c3ede6a43410a4db5ec914925c37e61042b2f00d57a47ce87ddb

Aliases

arxiv: math/9504209 · arxiv_version: math/9504209v1 · doi: 10.48550/arxiv.math/9504209 · pith_short_12: MXMCZ2QPWPB6 · pith_short_16: MXMCZ2QPWPB63ZVE · pith_short_8: MXMCZ2QP

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/MXMCZ2QPWPB63ZVEGQIKJW26ZE \
  | 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: 65d82cea0fb3c3ede6a43410a4db5ec914925c37e61042b2f00d57a47ce87ddb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71449131a495341cf56f35ec44be375efcc56d4cefb8083c4f217d91bc05a63b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1995-04-07T00:00:00Z",
    "title_canon_sha256": "a08eb6f25ff0e37e232be954ebf59914da09129ffdcfd1be4c4050360be5d13d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9504209",
    "kind": "arxiv",
    "version": 1
  }
}