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Pith Number

pith:BYMRBNM5

pith:2012:BYMRBNM5L425JPTA6V44WZWAR5
not attested not anchored not stored refs pending

Collisions at infinity in hyperbolic manifolds

Alan W. Reid, D. B. McReynolds, Matthew Stover

arxiv:1202.5906 v1 · 2012-02-27 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BYMRBNM5L425JPTA6V44WZWAR5}

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 2026-05-18T01:58:19.320420Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0e1910b59d5f35d4be60f579cb66c08f70182113ae58044337d01bd495e64576

Aliases

arxiv: 1202.5906 · arxiv_version: 1202.5906v1 · doi: 10.48550/arxiv.1202.5906 · pith_short_12: BYMRBNM5L425 · pith_short_16: BYMRBNM5L425JPTA · pith_short_8: BYMRBNM5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BYMRBNM5L425JPTA6V44WZWAR5 \
  | 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: 0e1910b59d5f35d4be60f579cb66c08f70182113ae58044337d01bd495e64576
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a9ebdc063b3bd91661438f508b2b03eb3c360326aa921398f1c8fc64ea18c46c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-02-27T12:20:28Z",
    "title_canon_sha256": "5bc2e96f2b6cb83987a19288353aff4e345f11328e2dde19b31b671be812062b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5906",
    "kind": "arxiv",
    "version": 1
  }
}