Pith Number

pith:USB36X5K

pith:2005:USB36X5KIMIOVLALYVM7EJZJND

not attested not anchored not stored refs pending

Absolutely continuous functions with values in metric spaces

Jakub Duda

arxiv:math/0512340 v1 · 2005-12-14 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USB36X5KIMIOVLALYVM7EJZJND}

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	2026-07-04T14:52:15.332843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a483bf5faa4310eaac0bc559f2272968c254ea653757d51b18c22d4968dc4b97

Aliases

arxiv: math/0512340 · arxiv_version: math/0512340v1 · doi: 10.48550/arxiv.math/0512340 · pith_short_12: USB36X5KIMIO · pith_short_16: USB36X5KIMIOVLAL · pith_short_8: USB36X5K

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/USB36X5KIMIOVLALYVM7EJZJND \
  | 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: a483bf5faa4310eaac0bc559f2272968c254ea653757d51b18c22d4968dc4b97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ec87355ec94e352b09a764ff4feb2f26ddf82024db2885f91bd07a988fcea5f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-12-14T19:01:48Z",
    "title_canon_sha256": "ddb2dbdfb3fd51faec090379265f0987d7a1e0af125a82964df9c2ca93b40b06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512340",
    "kind": "arxiv",
    "version": 1
  }
}