Pith Number

pith:OJY2CQOA

pith:2010:OJY2CQOA3WTI3I5PVCWYYYQZ5P

not attested not anchored not stored refs pending

An abstract Nyquist criterion containing old and new results

Amol Sasane

arxiv:1002.4795 v1 · 2010-02-25 · math.OC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJY2CQOA3WTI3I5PVCWYYYQZ5P}

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	2026-05-18T04:08:34.969051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7271a141c0dda68da3afa8ad8c6219ebc66dde80f4589191fba527c83006d4c5

Aliases

arxiv: 1002.4795 · arxiv_version: 1002.4795v1 · doi: 10.48550/arxiv.1002.4795 · pith_short_12: OJY2CQOA3WTI · pith_short_16: OJY2CQOA3WTI3I5P · pith_short_8: OJY2CQOA

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/OJY2CQOA3WTI3I5PVCWYYYQZ5P \
  | 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: 7271a141c0dda68da3afa8ad8c6219ebc66dde80f4589191fba527c83006d4c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72822686128f36a75a616af53700f5f3aa4e3ad4e92bf017c7faf007e12dcbfd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-02-25T14:28:12Z",
    "title_canon_sha256": "bb2357efe1eb96b57e5ff79a0eaaaee3c6b633efc8736aea9ef9a644ee61060b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4795",
    "kind": "arxiv",
    "version": 1
  }
}