Pith Number

pith:YPM25K3I

pith:2012:YPM25K3IAXTGGBYTYFCFALSPRB

not attested not anchored not stored refs pending

Maximal gamma-regularity

Jan van Neerven, Lutz Weis, Mark Veraar

arxiv:1209.3782 v3 · 2012-09-17 · math.FA · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPM25K3IAXTGGBYTYFCFALSPRB}

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	2026-05-18T02:38:44.691677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d9aeab6805e6630713c144502e4f8849a3b03833079b360252f7a1f39d0257

Aliases

arxiv: 1209.3782 · arxiv_version: 1209.3782v3 · doi: 10.48550/arxiv.1209.3782 · pith_short_12: YPM25K3IAXTG · pith_short_16: YPM25K3IAXTGGBYT · pith_short_8: YPM25K3I

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/YPM25K3IAXTGGBYTYFCFALSPRB \
  | 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: c3d9aeab6805e6630713c144502e4f8849a3b03833079b360252f7a1f39d0257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fdd2261ceb15a4ae8ccb0738e8d6571b967bc6ef6a138b4435e57fc81f266a9",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-17T20:01:41Z",
    "title_canon_sha256": "28cb2731600e33674c519b3a9d26a336235441713c0dd53e4df6af0a554d88e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3782",
    "kind": "arxiv",
    "version": 3
  }
}