Pith Number

pith:62FWXZHQ

pith:2011:62FWXZHQ3ZYG7G6M5PTLRVD6PH

not attested not anchored not stored refs pending

The Yamabe equation on complete manifolds with finite volume

Nadine Gro{\ss}e

arxiv:1111.2471 v1 · 2011-11-10 · 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{62FWXZHQ3ZYG7G6M5PTLRVD6PH}

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	2026-05-18T04:08:34.067835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f68b6be4f0de706f9bccebe6b8d47e79ced26bf37a1f503cd50c9857d8083579

Aliases

arxiv: 1111.2471 · arxiv_version: 1111.2471v1 · doi: 10.48550/arxiv.1111.2471 · pith_short_12: 62FWXZHQ3ZYG · pith_short_16: 62FWXZHQ3ZYG7G6M · pith_short_8: 62FWXZHQ

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/62FWXZHQ3ZYG7G6M5PTLRVD6PH \
  | 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: f68b6be4f0de706f9bccebe6b8d47e79ced26bf37a1f503cd50c9857d8083579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "989db6ad0b5773caa8188f62deca828d3d8dc76822404e2e727d06ccb056e1b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-10T13:15:05Z",
    "title_canon_sha256": "7877546c8949813f4c6d0317d002ff6cf8c95cd9eccd5d98f6e80cd644a292f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2471",
    "kind": "arxiv",
    "version": 1
  }
}