Pith Number

pith:XPB34NTJ

pith:2005:XPB34NTJAPPSUBDKEHT3XPZ46Z

not attested not anchored not stored refs pending

Fundamental tone, concentration of density to points and conformal degeneration on surfaces

Alexandre Girouard

arxiv:math/0510279 v4 · 2005-10-13 · math.SP · 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{XPB34NTJAPPSUBDKEHT3XPZ46Z}

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	2026-05-18T04:26:21.747819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc3be366903df2a046a21e7bbbf3cf65a5dfe8e9e084f007a16eac0e7f61fca

Aliases

arxiv: math/0510279 · arxiv_version: math/0510279v4 · doi: 10.48550/arxiv.math/0510279 · pith_short_12: XPB34NTJAPPS · pith_short_16: XPB34NTJAPPSUBDK · pith_short_8: XPB34NTJ

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/XPB34NTJAPPSUBDKEHT3XPZ46Z \
  | 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: bbc3be366903df2a046a21e7bbbf3cf65a5dfe8e9e084f007a16eac0e7f61fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "636897c7276a4f47cb9b8976c71f811ea5af31001b2eb1c87b5e12c718798117",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2005-10-13T15:26:32Z",
    "title_canon_sha256": "56a86a4f381730021c1731b6304b6b0e8b61ec70a4d58facffb43aef24e74a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510279",
    "kind": "arxiv",
    "version": 4
  }
}