Pith Number

pith:KW32AGJQ

pith:2014:KW32AGJQ2JSNG33ZTOLIXRYX4T

not attested not anchored not stored refs pending

Asymmetric hyperbolic L-spaces, Heegaard genus, and Dehn filling

Joan E. Licata, Nathan M. Dunfield, Neil R. Hoffman

arxiv:1407.7827 v3 · 2014-07-29 · 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{KW32AGJQ2JSNG33ZTOLIXRYX4T}

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	2026-05-18T00:20:27.934331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55b7a01930d264d36f799b968bc717e4ef121f6ee90759513bfa4f8e2e86fc70

Aliases

arxiv: 1407.7827 · arxiv_version: 1407.7827v3 · doi: 10.48550/arxiv.1407.7827 · pith_short_12: KW32AGJQ2JSN · pith_short_16: KW32AGJQ2JSNG33Z · pith_short_8: KW32AGJQ

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/KW32AGJQ2JSNG33ZTOLIXRYX4T \
  | 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: 55b7a01930d264d36f799b968bc717e4ef121f6ee90759513bfa4f8e2e86fc70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a4f0cfb4a09d756e46fc87de7dfea0a56481ccbe0aaa6c7007f2a2409fc19b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-07-29T19:13:28Z",
    "title_canon_sha256": "be817d5f4c538374e821adef8d6c2ad229d8a304cc9bba71ed5700e8bc99f4d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7827",
    "kind": "arxiv",
    "version": 3
  }
}