Pith Number

pith:P3U7V3BQ

pith:2012:P3U7V3BQKKWRJ4BT63ITIRNOB4

not attested not anchored not stored refs pending

A counterexample to the simple loop conjecture for PSL(2,R)

Kathryn Mann

arxiv:1210.3203 v1 · 2012-10-11 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3U7V3BQKKWRJ4BT63ITIRNOB4}

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	2026-05-18T02:40:04.122194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee9faec3052ad14f033f6d13445ae0f3e9b0b22cda3761471967b1d3f218667

Aliases

arxiv: 1210.3203 · arxiv_version: 1210.3203v1 · doi: 10.48550/arxiv.1210.3203 · pith_short_12: P3U7V3BQKKWR · pith_short_16: P3U7V3BQKKWRJ4BT · pith_short_8: P3U7V3BQ

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/P3U7V3BQKKWRJ4BT63ITIRNOB4 \
  | 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: 7ee9faec3052ad14f033f6d13445ae0f3e9b0b22cda3761471967b1d3f218667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315d9ff85ab6b7cf1678b730a234ab9a6f155009dac11661e08bee8f9536bd05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-11T12:24:43Z",
    "title_canon_sha256": "c08a0d4e49f6336b0c981e144072f3327c3f52929bacb27b421562af474ff653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3203",
    "kind": "arxiv",
    "version": 1
  }
}