Pith Number

pith:O2TAHXRS

pith:2021:O2TAHXRSBFYTRG5JIM3ENRGZUI

not attested not anchored not stored refs pending

The $G$-equivariant Kazdan--Warner problem

Jo\~ao Marcos do \'O, Leonardo F. Cavenaghi, Llohann D. Speran\c{c}a

arxiv:2106.14709 v5 · 2021-06-28 · 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{O2TAHXRSBFYTRG5JIM3ENRGZUI}

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	2026-06-23T02:13:11.442205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a603de320971389ba9433646c4d9a20aae22fb9dbf84821c2c3361fa4eecba

Aliases

arxiv: 2106.14709 · arxiv_version: 2106.14709v5 · doi: 10.48550/arxiv.2106.14709 · pith_short_12: O2TAHXRSBFYT · pith_short_16: O2TAHXRSBFYTRG5J · pith_short_8: O2TAHXRS

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/O2TAHXRSBFYTRG5JIM3ENRGZUI \
  | 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: 76a603de320971389ba9433646c4d9a20aae22fb9dbf84821c2c3361fa4eecba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa30b154c70dfaa4cfcb97a04f7fb9d8329aa9c8a83f26c1bfb588e7518be15",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-06-28T13:41:09Z",
    "title_canon_sha256": "03f579aad8cad3e642a74d467b7ef0503c9bd082466b806e4847bc9b0d26fce9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.14709",
    "kind": "arxiv",
    "version": 5
  }
}