Pith Number

pith:WNJ55YDE

pith:2015:WNJ55YDEFLZSLUQDHUBTY3IC2S

not attested not anchored not stored refs pending

p-exponent and p-leaders, Part I: Negative pointwise regularity

Clothilde Melot, Herwig Wendt, Maria E. Torres, Patrice Abry St\'ephane G. Roux, Roberto Leonarduzzi, St\'ephane Jaffard

arxiv:1507.05113 v3 · 2015-07-10 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNJ55YDEFLZSLUQDHUBTY3IC2S}

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	2026-05-18T01:10:10.340737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b353dee0642af325d2033d033c6d02d49455c6b4f772427ac1ce66af4e99b7f8

Aliases

arxiv: 1507.05113 · arxiv_version: 1507.05113v3 · doi: 10.48550/arxiv.1507.05113 · pith_short_12: WNJ55YDEFLZS · pith_short_16: WNJ55YDEFLZSLUQD · pith_short_8: WNJ55YDE

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/WNJ55YDEFLZSLUQDHUBTY3IC2S \
  | 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: b353dee0642af325d2033d033c6d02d49455c6b4f772427ac1ce66af4e99b7f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff5f1c199ea31cb16860ea54eec385ad90746ca0f67b2312ca58a960e3252c5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-10T16:04:08Z",
    "title_canon_sha256": "2c8c6b96453cae5459da24ec74bda3b4503d182565a34faae36f89ee92ddff0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05113",
    "kind": "arxiv",
    "version": 3
  }
}