Pith Number

pith:BW3ZJI4Z

pith:2015:BW3ZJI4Z7WWFHELIUV7ZM4EK4O

not attested not anchored not stored refs pending

$f$-extremal domains in hyperbolic space

Alberto Farina, Jos\'e M. Espinar, Laurent Mazet

arxiv:1511.02659 v1 · 2015-11-09 · math.AP · 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{BW3ZJI4Z7WWFHELIUV7ZM4EK4O}

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	2026-05-18T01:27:29.678363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db794a399fdac539168a57f96708ae3b6ff03727e2f269e1b54da517ace22cc

Aliases

arxiv: 1511.02659 · arxiv_version: 1511.02659v1 · doi: 10.48550/arxiv.1511.02659 · pith_short_12: BW3ZJI4Z7WWF · pith_short_16: BW3ZJI4Z7WWFHELI · pith_short_8: BW3ZJI4Z

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/BW3ZJI4Z7WWFHELIUV7ZM4EK4O \
  | 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: 0db794a399fdac539168a57f96708ae3b6ff03727e2f269e1b54da517ace22cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8dd98e32c18e478399b8adb4c1e0063a4f5bea497f7e8edc75cfd1c5f49201a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-09T12:39:20Z",
    "title_canon_sha256": "719b1aae875edba8f49db4d53288e57439311eb9a339081c4d608dfe6a32bbc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02659",
    "kind": "arxiv",
    "version": 1
  }
}