Pith Number

pith:RXXCLPIA

pith:2013:RXXCLPIA5O6KW2IYC2CGH4INHI

not attested not anchored not stored refs pending

Primitive stable closed hyperbolic 3-manifolds

Cyril Lecuire, Inkang Kim, Ken'ichi Ohshika

arxiv:1309.6142 v1 · 2013-09-24 · 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{RXXCLPIA5O6KW2IYC2CGH4INHI}

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	2026-05-18T03:12:23.762692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dee25bd00ebbcab6918168463f10d3a2ad7e16409b6e33069dae0874a2d5d14

Aliases

arxiv: 1309.6142 · arxiv_version: 1309.6142v1 · doi: 10.48550/arxiv.1309.6142 · pith_short_12: RXXCLPIA5O6K · pith_short_16: RXXCLPIA5O6KW2IY · pith_short_8: RXXCLPIA

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/RXXCLPIA5O6KW2IYC2CGH4INHI \
  | 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: 8dee25bd00ebbcab6918168463f10d3a2ad7e16409b6e33069dae0874a2d5d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5834fa47585f456fd031e2576cae99baafbe0191f0f2476f2226f6c517562a24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-24T13:10:53Z",
    "title_canon_sha256": "27a5726f32a8700eada3c7a03a8780c51f55077837b586ed5f5f7541bc37da24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6142",
    "kind": "arxiv",
    "version": 1
  }
}