Pith Number

pith:T432FFL3

pith:2013:T432FFL3YG2JIM3O55L7HRLXFL

not attested not anchored not stored refs pending

A Yamabe-type problem on smooth metric measure spaces

Jeffrey S. Case

arxiv:1306.4358 v2 · 2013-06-18 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T432FFL3YG2JIM3O55L7HRLXFL}

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	2026-05-18T02:27:29.574194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f37a2957bc1b494336eef57f3c5772ac806ff39fff982ab1321f534639cee3c

Aliases

arxiv: 1306.4358 · arxiv_version: 1306.4358v2 · doi: 10.48550/arxiv.1306.4358 · pith_short_12: T432FFL3YG2J · pith_short_16: T432FFL3YG2JIM3O · pith_short_8: T432FFL3

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/T432FFL3YG2JIM3O55L7HRLXFL \
  | 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: 9f37a2957bc1b494336eef57f3c5772ac806ff39fff982ab1321f534639cee3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8538a76ca6520fc292b8960cca7db2febc552af1850ab0e6714bea99781a25ce",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-18T21:21:09Z",
    "title_canon_sha256": "0157498d5cc519885bcc118e0f8c8020f745392eda03170571e1f9af0c706fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4358",
    "kind": "arxiv",
    "version": 2
  }
}