Pith Number

pith:YKFJ5QQA

pith:2012:YKFJ5QQA2TG6VJTNMDASMNI4YZ

not attested not anchored not stored refs pending

Traces and embeddings of anisotropic function spaces

Mark Veraar, Martin Meyries

arxiv:1207.1044 v3 · 2012-07-04 · math.FA · 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{YKFJ5QQA2TG6VJTNMDASMNI4YZ}

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	2026-05-18T02:55:19.448558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c28a9ec200d4cdeaa66d60c126351cc664d9a2efecc30e6f18b42f8020c9f925

Aliases

arxiv: 1207.1044 · arxiv_version: 1207.1044v3 · doi: 10.48550/arxiv.1207.1044 · pith_short_12: YKFJ5QQA2TG6 · pith_short_16: YKFJ5QQA2TG6VJTN · pith_short_8: YKFJ5QQA

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/YKFJ5QQA2TG6VJTNMDASMNI4YZ \
  | 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: c28a9ec200d4cdeaa66d60c126351cc664d9a2efecc30e6f18b42f8020c9f925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceedba5fceb6661e36e32424989144046804f082fc3657f0619fbad5cf9d8c5a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-04T15:54:11Z",
    "title_canon_sha256": "1cbfa939f8c8936178330b5677887ae94cf525b3b75608e7e8ebb2c91eee4dac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1044",
    "kind": "arxiv",
    "version": 3
  }
}