Pith Number

pith:MXG3MCOW

pith:2012:MXG3MCOWV2R7IHBSQUB4I2OLP6

not attested not anchored not stored refs pending

A new approach to velocity averaging lemmas in {B}esov spaces

Diogo Ars\'enio, Nader Masmoudi

arxiv:1206.6659 v1 · 2012-06-28 · math.AP · 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{MXG3MCOWV2R7IHBSQUB4I2OLP6}

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	2026-05-18T03:52:25.314685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65cdb609d6aea3f41c328503c469cb7f9d147aad9a571e7d647c58d291ff9d80

Aliases

arxiv: 1206.6659 · arxiv_version: 1206.6659v1 · doi: 10.48550/arxiv.1206.6659 · pith_short_12: MXG3MCOWV2R7 · pith_short_16: MXG3MCOWV2R7IHBS · pith_short_8: MXG3MCOW

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/MXG3MCOWV2R7IHBSQUB4I2OLP6 \
  | 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: 65cdb609d6aea3f41c328503c469cb7f9d147aad9a571e7d647c58d291ff9d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91094bb4f56e3bada4de958312901684bdc3814e59df1be71e5a4d669c860125",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-28T12:30:41Z",
    "title_canon_sha256": "0011ed2462bd3813ff3cee0b8c054da003d44656b4b253bf87b252c0732dd550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6659",
    "kind": "arxiv",
    "version": 1
  }
}