Pith Number

pith:SCMUTXRM

pith:2025:SCMUTXRMIHDFZH6VSTYGPCJ32A

not attested not anchored not stored refs pending

Hypersurfaces of constant sum Hessian curvature in Hyperbolic space

Jianbo Yang, Yueming Lu

arxiv:2507.22375 v3 · 2025-07-30 · 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{SCMUTXRMIHDFZH6VSTYGPCJ32A}

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	2026-07-05T11:47:27.413560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

909949de2c41c65c9fd594f067893bd009c4e69851f97241b2f17e77e6b9696d

Aliases

arxiv: 2507.22375 · arxiv_version: 2507.22375v3 · doi: 10.48550/arxiv.2507.22375 · pith_short_12: SCMUTXRMIHDF · pith_short_16: SCMUTXRMIHDFZH6V · pith_short_8: SCMUTXRM

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/SCMUTXRMIHDFZH6VSTYGPCJ32A \
  | 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: 909949de2c41c65c9fd594f067893bd009c4e69851f97241b2f17e77e6b9696d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae881f3dae4f5e61b8fe577c2210b43fc6d02ae575412f773455876c91143ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-07-30T04:30:35Z",
    "title_canon_sha256": "b34062f8c8239800c11b7ff8ca69cb9f767c65d31fd4ed3f14786b949bf57497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22375",
    "kind": "arxiv",
    "version": 3
  }
}