Pith Number

pith:5AXVLCP2

pith:2010:5AXVLCP2WNZKT6ZJT6AJDJ2EEI

not attested not anchored not stored refs pending

Monopole metrics and the orbifold Yamabe problem

Jeff Viaclovsky

arxiv:1002.2119 v2 · 2010-02-10 · 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{5AXVLCP2WNZKT6ZJT6AJDJ2EEI}

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	2026-05-18T04:34:48.037131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e82f5589fab372a9fb299f8091a74422052f89dad0d72f640a801446583b9aca

Aliases

arxiv: 1002.2119 · arxiv_version: 1002.2119v2 · doi: 10.48550/arxiv.1002.2119 · pith_short_12: 5AXVLCP2WNZK · pith_short_16: 5AXVLCP2WNZKT6ZJ · pith_short_8: 5AXVLCP2

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/5AXVLCP2WNZKT6ZJT6AJDJ2EEI \
  | 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: e82f5589fab372a9fb299f8091a74422052f89dad0d72f640a801446583b9aca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d082e0c26d9855b4ef2f7ff1aef2f725b3dbc7a9b7f083df8b7c79e1dd0a23",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-02-10T20:06:20Z",
    "title_canon_sha256": "6dbe05b3912b9ef79820f5bad6b2bcfbc0f937f9cedcfb2aa061abe9e44444f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2119",
    "kind": "arxiv",
    "version": 2
  }
}