Pith Number

pith:6RPPP2CR

pith:2022:6RPPP2CRQFUUJ4LY5JIRKE7FGF

not attested not anchored not stored refs pending

Local bifurcation diagrams and degenerate solutions of Yamabe-type equations

Jimmy Petean, Sahid Bernabe Catalan

arxiv:2205.10445 v1 · 2022-05-20 · 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{6RPPP2CRQFUUJ4LY5JIRKE7FGF}

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.

Cited by

1 paper in Pith

Fractional $Q$-curvature on the sphere and optimal partitions

Receipt and verification

First computed	2026-07-05T04:25:19.731034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f45ef7e851816944f178ea511513e53169756c33069fe94f3d7f3860cd09215c

Aliases

arxiv: 2205.10445 · arxiv_version: 2205.10445v1 · doi: 10.48550/arxiv.2205.10445 · pith_short_12: 6RPPP2CRQFUU · pith_short_16: 6RPPP2CRQFUUJ4LY · pith_short_8: 6RPPP2CR

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/6RPPP2CRQFUUJ4LY5JIRKE7FGF \
  | 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: f45ef7e851816944f178ea511513e53169756c33069fe94f3d7f3860cd09215c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f3f30a0ea706a3ec7097506fbea1bd0b951d263c4bf1fa252067ab039cd932",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-05-20T21:37:27Z",
    "title_canon_sha256": "efdb1fca166e689d893a4f9d10b96e4a9af4739a6b2829e01d0b3a8eac6f78c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.10445",
    "kind": "arxiv",
    "version": 1
  }
}