Pith Number

pith:2VO2YMHT

pith:2011:2VO2YMHTZDQYTOUMEFDNIAXMZF

not attested not anchored not stored refs pending

Bellman function technique in Harmonic Analysis. Lectures of INRIA Summer School in Antibes, June 2011

Alexander Volberg

arxiv:1106.3899 v1 · 2011-06-20 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VO2YMHTZDQYTOUMEFDNIAXMZF}

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	2026-05-18T04:19:41.887073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55dac30f3c8e189ba8c2146d402ecc964c9842f01b3279d65893ece778c9f21

Aliases

arxiv: 1106.3899 · arxiv_version: 1106.3899v1 · doi: 10.48550/arxiv.1106.3899 · pith_short_12: 2VO2YMHTZDQY · pith_short_16: 2VO2YMHTZDQYTOUM · pith_short_8: 2VO2YMHT

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/2VO2YMHTZDQYTOUMEFDNIAXMZF \
  | 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: d55dac30f3c8e189ba8c2146d402ecc964c9842f01b3279d65893ece778c9f21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "323584f102d3039955ad56c622d5f49bcd637782c9a1713f6eca2c139e45524f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-20T13:42:15Z",
    "title_canon_sha256": "b0a699db57d98d9f80779be7672d7003de6480ba6ad5ea8b3b0af1947acf4952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3899",
    "kind": "arxiv",
    "version": 1
  }
}