Pith Number

pith:BOCGH6XV

pith:2018:BOCGH6XVLPEXBTH57A23OWE4JF

not attested not anchored not stored refs pending

Min-max theory for networks of constant geodesic curvature

Jonathan J. Zhu, Xin Zhou

arxiv:1811.04070 v2 · 2018-11-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BOCGH6XVLPEXBTH57A23OWE4JF}

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	2026-05-17T23:55:28.710934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b8463faf55bc970ccfdf835b7589c4963fad51eb8b24d60666e90a0e9e82ae7

Aliases

arxiv: 1811.04070 · arxiv_version: 1811.04070v2 · doi: 10.48550/arxiv.1811.04070 · pith_short_12: BOCGH6XVLPEX · pith_short_16: BOCGH6XVLPEXBTH5 · pith_short_8: BOCGH6XV

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/BOCGH6XVLPEXBTH57A23OWE4JF \
  | 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: 0b8463faf55bc970ccfdf835b7589c4963fad51eb8b24d60666e90a0e9e82ae7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b4f84f254d2c5055901a60c0a578fa54455a3595feae7ad06a0d2ba52f1dff6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-09T18:56:55Z",
    "title_canon_sha256": "8d2cf23eb77253b670f21de144016d95c1d20e4e6919d7789d64099403c12e47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04070",
    "kind": "arxiv",
    "version": 2
  }
}