Pith Number

pith:ZPP4A7IM

pith:2011:ZPP4A7IM4X25B7IEEK23TIDXJ5

not attested not anchored not stored refs pending

Effective vanishing order of the Levi determinant

Andreea C. Nicoara

arxiv:1102.0356 v2 · 2011-02-02 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPP4A7IM4X25B7IEEK23TIDXJ5}

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	2026-05-18T03:41:12.836206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbdfc07d0ce5f5d0fd0422b5b9a0774f62d616b5ea213fe4581b671ab0a87d5c

Aliases

arxiv: 1102.0356 · arxiv_version: 1102.0356v2 · doi: 10.48550/arxiv.1102.0356 · pith_short_12: ZPP4A7IM4X25 · pith_short_16: ZPP4A7IM4X25B7IE · pith_short_8: ZPP4A7IM

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/ZPP4A7IM4X25B7IEEK23TIDXJ5 \
  | 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: cbdfc07d0ce5f5d0fd0422b5b9a0774f62d616b5ea213fe4581b671ab0a87d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f5fe8ba8dc01d7a7726cbad7cef20536f347553403e57a5451433c634d5b5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-02-02T04:15:29Z",
    "title_canon_sha256": "d1760e6b4ee763a400abaca74652401d86ceea24e73ec4c37579d3cd9b470282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0356",
    "kind": "arxiv",
    "version": 2
  }
}