Pith Number

pith:LN4TQJZM

pith:2016:LN4TQJZMVYM2MTIKJSFX3L75MW

not attested not anchored not stored refs pending

Bifurcation for the constant scalar curvature equation and harmonic Riemannian submersions

Jimmy Petean, Nobuhiko Otoba

arxiv:1611.06709 v2 · 2016-11-21 · 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{LN4TQJZMVYM2MTIKJSFX3L75MW}

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	2026-05-18T00:08:00.985982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b7938272cae19a64d0a4c8b7daffd65902f48d3f9c6a4ea0bdc13926dda2987

Aliases

arxiv: 1611.06709 · arxiv_version: 1611.06709v2 · doi: 10.48550/arxiv.1611.06709 · pith_short_12: LN4TQJZMVYM2 · pith_short_16: LN4TQJZMVYM2MTIK · pith_short_8: LN4TQJZM

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/LN4TQJZMVYM2MTIKJSFX3L75MW \
  | 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: 5b7938272cae19a64d0a4c8b7daffd65902f48d3f9c6a4ea0bdc13926dda2987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6f9709f06982441c3bf31706a3ea5b2bb1d9e856378b73e5810f924a3ff08f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-21T10:14:32Z",
    "title_canon_sha256": "daf14130403af9138cf3757aa85bd32cfb207f76001cc8cb8f4a68ea48b8c91d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06709",
    "kind": "arxiv",
    "version": 2
  }
}