Pith Number

pith:4WF5WDNV

pith:2012:4WF5WDNVZOXN2FT6FZMXJJEDDP

not attested not anchored not stored refs pending

The effect of linear perturbations on the Yamabe problem

Angela Pistoia, J\'er\^ome V\'etois, Pierpaolo Esposito

arxiv:1210.7979 v1 · 2012-10-30 · 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{4WF5WDNVZOXN2FT6FZMXJJEDDP}

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	2026-05-18T03:41:57.470205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58bdb0db5cbaedd167e2e5974a4831bf6af157cb26cbeff1cb40fd0c816aecb

Aliases

arxiv: 1210.7979 · arxiv_version: 1210.7979v1 · doi: 10.48550/arxiv.1210.7979 · pith_short_12: 4WF5WDNVZOXN · pith_short_16: 4WF5WDNVZOXN2FT6 · pith_short_8: 4WF5WDNV

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/4WF5WDNVZOXN2FT6FZMXJJEDDP \
  | 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: e58bdb0db5cbaedd167e2e5974a4831bf6af157cb26cbeff1cb40fd0c816aecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b050ffa3221aab68de392fda7cbee0cdd87133829ee2c61ee8d52a599961e77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-30T12:24:01Z",
    "title_canon_sha256": "b643ffdd76aa950cbce1a982fd65dd89219cc74083ca07dd88c7458dc38fe523"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7979",
    "kind": "arxiv",
    "version": 1
  }
}