Pith Number

pith:JMGD2SSY

pith:2011:JMGD2SSYBCNDNOJRTINEALULHZ

not attested not anchored not stored refs pending

Square-integrability of solutions of the Yamabe equation

Bernd Ammann, Emmanuel Humbert, Mattias Dahl

arxiv:1111.2780 v1 · 2011-11-11 · 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{JMGD2SSYBCNDNOJRTINEALULHZ}

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	2026-05-18T03:02:57.549132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0c3d4a58089a36b9319a1a402e8b3e4a51346163fcf6f267aec60f9b21be25

Aliases

arxiv: 1111.2780 · arxiv_version: 1111.2780v1 · doi: 10.48550/arxiv.1111.2780 · pith_short_12: JMGD2SSYBCND · pith_short_16: JMGD2SSYBCNDNOJR · pith_short_8: JMGD2SSY

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/JMGD2SSYBCNDNOJRTINEALULHZ \
  | 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: 4b0c3d4a58089a36b9319a1a402e8b3e4a51346163fcf6f267aec60f9b21be25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df47ecddbd2088a9696880aa8350af371c992fbaf99ef9b666549d79f8f4efd0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-11T15:50:12Z",
    "title_canon_sha256": "abd9bb7604b57eea1691050cd5def1bd431ae2ee1247dc56b6bf72984fac6f96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2780",
    "kind": "arxiv",
    "version": 1
  }
}