Pith Number

pith:OMTQOFYZ

pith:2013:OMTQOFYZOCO5WT22FBKUGS2T5U

not attested not anchored not stored refs pending

Systoles and Dehn surgery for hyperbolic 3-manifolds

Christopher J. Leininger, Grant S. Lakeland

arxiv:1307.1919 v2 · 2013-07-07 · 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{OMTQOFYZOCO5WT22FBKUGS2T5U}

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	2026-05-18T02:41:42.354288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7327071719709ddb4f5a2855434b53ed35b94f28c58d5ac88feddc604c7871bd

Aliases

arxiv: 1307.1919 · arxiv_version: 1307.1919v2 · doi: 10.48550/arxiv.1307.1919 · pith_short_12: OMTQOFYZOCO5 · pith_short_16: OMTQOFYZOCO5WT22 · pith_short_8: OMTQOFYZ

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/OMTQOFYZOCO5WT22FBKUGS2T5U \
  | 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: 7327071719709ddb4f5a2855434b53ed35b94f28c58d5ac88feddc604c7871bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7ebd61618b5fed69740bfbd24e7836bb86ce2d83bf782fbe98c5f082c31340",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-07T21:11:26Z",
    "title_canon_sha256": "bebb96bf95cc011a86b0a35c26f36e59f8d1c53170b90a227c66b63262ef9f4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1919",
    "kind": "arxiv",
    "version": 2
  }
}