Pith Number

pith:Q7JVD6YS

pith:2007:Q7JVD6YSLZZ5L4AUUK4VO3KKMK

not attested not anchored not stored refs pending

The Mean Curvature of the Second Fundamental Form of a hypersurface

Stefan Haesen, Steven Verpoort

arxiv:0709.2107 v3 · 2007-09-13 · 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{Q7JVD6YSLZZ5L4AUUK4VO3KKMK}

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	2026-07-04T15:41:46.659256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d351fb125e73d5f014a2b9576d4a62bb2048d3cedaff6cc865cb476bab143f

Aliases

arxiv: 0709.2107 · arxiv_version: 0709.2107v3 · doi: 10.48550/arxiv.0709.2107 · pith_short_12: Q7JVD6YSLZZ5 · pith_short_16: Q7JVD6YSLZZ5L4AU · pith_short_8: Q7JVD6YS

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/Q7JVD6YSLZZ5L4AUUK4VO3KKMK \
  | 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: 87d351fb125e73d5f014a2b9576d4a62bb2048d3cedaff6cc865cb476bab143f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5cc2aa3fe616c2c3ab08e4dc70153318ac3c7b74bdbe3c51c21b0cc8fdf0829",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2007-09-13T15:41:35Z",
    "title_canon_sha256": "73ed266d59f24e0a2b84bdc04655fb41ac6da17380926a60db0ff1251479d781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2107",
    "kind": "arxiv",
    "version": 3
  }
}