Pith Number

pith:ZZGDA765

pith:2010:ZZGDA765UCAQJQHEROFMJ7LX6P

not attested not anchored not stored refs pending

On the Local Isometric Embedding in R^3 of Surfaces with Gaussian Curvature of Mixed Sign

Marcus Khuri, Qing Han

arxiv:1009.6214 v1 · 2010-09-30 · math.AP · 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{ZZGDA765UCAQJQHEROFMJ7LX6P}

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	2026-05-18T03:02:07.720522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4c307fdda08104c0e48b8ac4fd77f3d24211f2b1da63ad3ed814e38649f593

Aliases

arxiv: 1009.6214 · arxiv_version: 1009.6214v1 · doi: 10.48550/arxiv.1009.6214 · pith_short_12: ZZGDA765UCAQ · pith_short_16: ZZGDA765UCAQJQHE · pith_short_8: ZZGDA765

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/ZZGDA765UCAQJQHEROFMJ7LX6P \
  | 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: ce4c307fdda08104c0e48b8ac4fd77f3d24211f2b1da63ad3ed814e38649f593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47c3c9861471cd40a0c1165f587b1e669d9678ad3a9210a60e7f4886e9d6406a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-30T18:22:58Z",
    "title_canon_sha256": "193f32362ad79bd9d51595f7ae62738aecb5e40c0b3d8b46e11eb52367198a9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6214",
    "kind": "arxiv",
    "version": 1
  }
}