Pith Number

pith:L2AUERC2

pith:2013:L2AUERC2IFNFSUONZLKHBPHJZC

not attested not anchored not stored refs pending

Forward integration, convergence and nonadapted pointwise multipliers

Mark Veraar, Matthijs Pronk

arxiv:1310.6961 v2 · 2013-10-25 · math.PR · 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{L2AUERC2IFNFSUONZLKHBPHJZC}

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	2026-05-18T02:44:01.988999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e8142445a415a5951cdcad470bce9c8a6241c9ef65b7aa3a4e3fe6191d95cca

Aliases

arxiv: 1310.6961 · arxiv_version: 1310.6961v2 · doi: 10.48550/arxiv.1310.6961 · pith_short_12: L2AUERC2IFNF · pith_short_16: L2AUERC2IFNFSUON · pith_short_8: L2AUERC2

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/L2AUERC2IFNFSUONZLKHBPHJZC \
  | 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: 5e8142445a415a5951cdcad470bce9c8a6241c9ef65b7aa3a4e3fe6191d95cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeadaa0f5fc73388353b78ec2068644782511c6dc941f151ac68c653203f850f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-25T15:36:18Z",
    "title_canon_sha256": "331b2f55d8dab2537cdb23edd10db9b56aadffb8adc88437b800d5dee4f284a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6961",
    "kind": "arxiv",
    "version": 2
  }
}