Pith Number

pith:LEP74XNX

pith:2010:LEP74XNXNDVD5ILBCUPNQKSYSE

not attested not anchored not stored refs pending

Proper Analytic Free Maps

Igor Klep, J. William Helton, Scott McCullough

arxiv:1004.1381 v2 · 2010-04-08 · math.FA · 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{LEP74XNXNDVD5ILBCUPNQKSYSE}

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	2026-05-18T04:24:06.319218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591ffe5db768ea3ea161151ed82a589136925d673fa87cc06dbbf9ca4c9d68cb

Aliases

arxiv: 1004.1381 · arxiv_version: 1004.1381v2 · doi: 10.48550/arxiv.1004.1381 · pith_short_12: LEP74XNXNDVD · pith_short_16: LEP74XNXNDVD5ILB · pith_short_8: LEP74XNX

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/LEP74XNXNDVD5ILBCUPNQKSYSE \
  | 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: 591ffe5db768ea3ea161151ed82a589136925d673fa87cc06dbbf9ca4c9d68cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7bc6a0ef73d0b0db063f6937e0a7c14bf00264ca73a08dc84a87474c6c86ec7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-04-08T17:44:02Z",
    "title_canon_sha256": "468281347427767fa910b290dd525b3ec223a324a1ced77ab3ecd687cbeee848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1381",
    "kind": "arxiv",
    "version": 2
  }
}