Pith Number

pith:GYHGK7Z5

pith:2018:GYHGK7Z5JN435JOWLSCOR2T3EQ

not attested not anchored not stored refs pending

Bellman function sitting on a tree

Alexander Volberg, Irina Holmes, Nicola Arcozzi, Pavel Mozolyako

arxiv:1809.03397 v2 · 2018-09-10 · math.CA · 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{GYHGK7Z5JN435JOWLSCOR2T3EQ}

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.

Cited by

1 paper in Pith

Counterexamples for bi-parameter Carleson embedding

Receipt and verification

First computed	2026-05-17T23:57:57.123928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360e657f3d4b79bea5d65c84e8ea7b240a43dc0308aa04466d54c2c66ef5bded

Aliases

arxiv: 1809.03397 · arxiv_version: 1809.03397v2 · doi: 10.48550/arxiv.1809.03397 · pith_short_12: GYHGK7Z5JN43 · pith_short_16: GYHGK7Z5JN435JOW · pith_short_8: GYHGK7Z5

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/GYHGK7Z5JN435JOWLSCOR2T3EQ \
  | 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: 360e657f3d4b79bea5d65c84e8ea7b240a43dc0308aa04466d54c2c66ef5bded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "514c4ebe365013f4d4ac8b701b7a5d1b40351a1302a09257f68a4ffac6d8c1be",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-09-10T15:29:46Z",
    "title_canon_sha256": "5cec46f0b9924adac4e13c6bda6fb5f5fcaa11e78fd1a70c2dfcaecb55817063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03397",
    "kind": "arxiv",
    "version": 2
  }
}