Pith Number

pith:YWWS3BV3

pith:2010:YWWS3BV3EPROWUELUCU5TJN2QW

not attested not anchored not stored refs pending

Volume Distance to Hypersurfaces: Asymptotic Behavior of its Hessian

Marcos Craizer, Ralph C. Teixeira

arxiv:1007.2232 v5 · 2010-07-14 · 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{YWWS3BV3EPROWUELUCU5TJN2QW}

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	2026-05-18T04:05:04.165514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5ad2d86bb23e2eb508ba0a9d9a5ba859c9303b3de62ba7da3ee62d3b978f7c4

Aliases

arxiv: 1007.2232 · arxiv_version: 1007.2232v5 · doi: 10.48550/arxiv.1007.2232 · pith_short_12: YWWS3BV3EPRO · pith_short_16: YWWS3BV3EPROWUEL · pith_short_8: YWWS3BV3

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/YWWS3BV3EPROWUELUCU5TJN2QW \
  | 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: c5ad2d86bb23e2eb508ba0a9d9a5ba859c9303b3de62ba7da3ee62d3b978f7c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ae2192dbd4c7a8dec3c545afcb0fd773d8bc4030ee909cdafcb2cb9e550db2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-07-14T01:03:20Z",
    "title_canon_sha256": "190512a31de2f9967b5b0625477abd46c355b6a2df43e7cf559414e70ec8bf20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2232",
    "kind": "arxiv",
    "version": 5
  }
}