Pith Number

pith:S34ABX42

pith:2010:S34ABX42QWF76E3WBXEWEPYA2D

not attested not anchored not stored refs pending

Tangent cones and regularity of real hypersurfaces

Mohammad Ghomi, Ralph Howard

arxiv:1005.2761 v3 · 2010-05-16 · math.AG · math.CV · math.DG · math.MG · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S34ABX42QWF76E3WBXEWEPYA2D}

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	2026-05-18T03:13:22.138425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f800df9a858bff13760dc9623f00d0d2635ec913f76c92c3ae78c59ce1be56

Aliases

arxiv: 1005.2761 · arxiv_version: 1005.2761v3 · doi: 10.48550/arxiv.1005.2761 · pith_short_12: S34ABX42QWF7 · pith_short_16: S34ABX42QWF76E3W · pith_short_8: S34ABX42

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/S34ABX42QWF76E3WBXEWEPYA2D \
  | 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: 96f800df9a858bff13760dc9623f00d0d2635ec913f76c92c3ae78c59ce1be56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d586a3c4f621222856c069a73355bf2cd6673fffc30336bcbebb2b5e82d5b881",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG",
      "math.MG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-16T17:44:29Z",
    "title_canon_sha256": "3704c53d382852254c2fa53243d576b125e161942872b063512c0128df93759d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2761",
    "kind": "arxiv",
    "version": 3
  }
}