Pith Number

pith:QLEOAS4A

pith:2012:QLEOAS4AQAISAADGO4UQWJJORZ

not attested not anchored not stored refs pending

Leibniz's Laws of Continuity and Homogeneity

David Sherry, Mikhail G. Katz

arxiv:1211.7188 v1 · 2012-11-30 · math.HO · math.CA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLEOAS4AQAISAADGO4UQWJJORZ}

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	2026-05-18T03:39:31.373827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c8e04b80801120006677290b252e8e60b3be5a301578a150fe26f62f95111b

Aliases

arxiv: 1211.7188 · arxiv_version: 1211.7188v1 · doi: 10.48550/arxiv.1211.7188 · pith_short_12: QLEOAS4AQAIS · pith_short_16: QLEOAS4AQAISAADG · pith_short_8: QLEOAS4A

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/QLEOAS4AQAISAADGO4UQWJJORZ \
  | 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: 82c8e04b80801120006677290b252e8e60b3be5a301578a150fe26f62f95111b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8b9f0293434aac3b360f2294ae0cd80c11d3fdb6554d31ceae04c6092fe9fa",
    "cross_cats_sorted": [
      "math.CA",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2012-11-30T09:06:51Z",
    "title_canon_sha256": "c0f63158277915a5336ead90be7c1f00db36f0918ab4e32bcafa321941b041f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7188",
    "kind": "arxiv",
    "version": 1
  }
}