Pith Number

pith:2AD5LM2D

pith:2001:2AD5LM2D5J7YCJN35FATOQGFBP

not attested not anchored not stored refs pending

Determinants of Laplacians and Isopolar Metrics on Surfaces of Infinite Area

C. Judge, D. Borthwick, P. A. Perry

arxiv:math/0111211 v1 · 2001-11-19 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AD5LM2D5J7YCJN35FATOQGFBP}

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.

Cited by

1 paper in Pith

Neumann scalar determinants on constant curvature disks

Receipt and verification

First computed	2026-07-04T14:35:45.820065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d007d5b343ea7f8125bbe9413740c50bcffe8629c600a925ef5b8bb7069cb786

Aliases

arxiv: math/0111211 · arxiv_version: math/0111211v1 · doi: 10.48550/arxiv.math/0111211 · pith_short_12: 2AD5LM2D5J7Y · pith_short_16: 2AD5LM2D5J7YCJN3 · pith_short_8: 2AD5LM2D

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/2AD5LM2D5J7YCJN35FATOQGFBP \
  | 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: d007d5b343ea7f8125bbe9413740c50bcffe8629c600a925ef5b8bb7069cb786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81decfb3fe3c1626b58ad2fa0e395a0e3ab0e73db0e4afabe3d55693e45e1d0a",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2001-11-19T20:48:15Z",
    "title_canon_sha256": "d550b2c219508feebce746d2979746fa807ee82d79b3076814752470dcf0d70a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111211",
    "kind": "arxiv",
    "version": 1
  }
}