Pith Number

pith:W2OR6XHA

pith:2024:W2OR6XHAAQPJ6PD5AA72IH7NWN

not attested not anchored not stored refs pending

Analysis of Critical Points of Conformally Invariant Curvature Energies in 4d

Yann Bernard

arxiv:2402.15032 v2 · 2024-02-23 · 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{W2OR6XHAAQPJ6PD5AA72IH7NWN}

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	2026-07-05T12:02:33.402145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b69d1f5ce0041e9f3c7d003fa41fedb3506aed8ae6bdb79ad3ed409f6118cfdd

Aliases

arxiv: 2402.15032 · arxiv_version: 2402.15032v2 · doi: 10.48550/arxiv.2402.15032 · pith_short_12: W2OR6XHAAQPJ · pith_short_16: W2OR6XHAAQPJ6PD5 · pith_short_8: W2OR6XHA

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/W2OR6XHAAQPJ6PD5AA72IH7NWN \
  | 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: b69d1f5ce0041e9f3c7d003fa41fedb3506aed8ae6bdb79ad3ed409f6118cfdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f25871397abe8b3dca23bad64656a079d70f79230a5bcd9e4f41483a8f20f94a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-02-23T00:39:33Z",
    "title_canon_sha256": "2f3778454453c810f99931081c849fa2a3df1fa11947c11d0596705cffd4768a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.15032",
    "kind": "arxiv",
    "version": 2
  }
}