Pith Number

pith:P6L5ZDW3

pith:2015:P6L5ZDW3V3H545BXJGSFG6HHMO

not attested not anchored not stored refs pending

Closed Minimal Surfaces in Cusped Hyperbolic Three-manifolds

Biao Wang, Zheng Huang

arxiv:1507.04818 v3 · 2015-07-17 · math.DG · 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{P6L5ZDW3V3H545BXJGSFG6HHMO}

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	2026-05-18T00:54:48.215138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f97dc8edbaecfde743749a45378e7638876c6452403266b086ca6ba2e87a455

Aliases

arxiv: 1507.04818 · arxiv_version: 1507.04818v3 · doi: 10.48550/arxiv.1507.04818 · pith_short_12: P6L5ZDW3V3H5 · pith_short_16: P6L5ZDW3V3H545BX · pith_short_8: P6L5ZDW3

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/P6L5ZDW3V3H545BXJGSFG6HHMO \
  | 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: 7f97dc8edbaecfde743749a45378e7638876c6452403266b086ca6ba2e87a455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e13d8477a81b7e87686c3e8f0b5faeddbe5350ab9aad99e8247ee5b9ca568fb0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-17T02:27:41Z",
    "title_canon_sha256": "0563b1d3f9c694a72bfb7bd4631e8b3df30df71b2ae3ce92888145a20af586c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04818",
    "kind": "arxiv",
    "version": 3
  }
}