Pith Number

pith:A7ECTSUN

pith:2019:A7ECTSUNNWNHRF3E5JC3PFU6HA

not attested not anchored not stored refs pending

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds

Gabriella Tarantello, Marcello Lucia, Zheng Huang

arxiv:1908.06457 v2 · 2019-08-18 · math.DG · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7ECTSUNNWNHRF3E5JC3PFU6HA}

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	2026-07-05T01:56:40.068667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07c829ca8d6d9a789764ea45b7969e380263ce174cde83ed73453a74505bb6d1

Aliases

arxiv: 1908.06457 · arxiv_version: 1908.06457v2 · doi: 10.48550/arxiv.1908.06457 · pith_short_12: A7ECTSUNNWNH · pith_short_16: A7ECTSUNNWNHRF3E · pith_short_8: A7ECTSUN

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/A7ECTSUNNWNHRF3E5JC3PFU6HA \
  | 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: 07c829ca8d6d9a789764ea45b7969e380263ce174cde83ed73453a74505bb6d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "702bd70a637e12f91f4349d95ed11b84cbc18f693b256119a842d85173552203",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-18T15:10:17Z",
    "title_canon_sha256": "4e7aa157668a631166835be9370644f83834726179d245384e3ffa8b4f1d3482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06457",
    "kind": "arxiv",
    "version": 2
  }
}