Pith Number

pith:ACGNTB4D

pith:2026:ACGNTB4DM63FXUJQOYY2SPWS73

not attested not anchored not stored refs pending

Ricci solitons as critical points of quadratic curvature functionals

Atreyee Bhattacharya, Sayoojya Prakash

arxiv:2606.13066 v1 · 2026-06-11 · 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{ACGNTB4DM63FXUJQOYY2SPWS73}

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	2026-06-12T01:09:39.012596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

008cd9878367b65bd1307631a93ed2fef38642a8697549eb5994a8fce04a87f0

Aliases

arxiv: 2606.13066 · arxiv_version: 2606.13066v1 · doi: 10.48550/arxiv.2606.13066 · pith_short_12: ACGNTB4DM63F · pith_short_16: ACGNTB4DM63FXUJQ · pith_short_8: ACGNTB4D

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/ACGNTB4DM63FXUJQOYY2SPWS73 \
  | 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: 008cd9878367b65bd1307631a93ed2fef38642a8697549eb5994a8fce04a87f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66e8ffb26860ffbba88abdc081e2f9b2b57eb0ce1d355faac3d6439b45f00ce9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-11T08:53:02Z",
    "title_canon_sha256": "35c2ef6dec120c289f473a3a1a8d64f7a0a15f718683be4630275e3db149602b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13066",
    "kind": "arxiv",
    "version": 1
  }
}