Pith Number

pith:JSBVFF7B

pith:2013:JSBVFF7BYS667Z3F7HAA6OLMSJ

not attested not anchored not stored refs pending

Approximation of discrete functions and size of spectrum

Alexander Olevskii, Alexander Ulanovskii

arxiv:1304.0649 v1 · 2013-04-02 · math.CA · 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{JSBVFF7BYS667Z3F7HAA6OLMSJ}

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	2026-05-18T03:29:14.755064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c835297e1c4bdefe765f9c00f396c9250a98ed5008611c0a4d05111640209e9

Aliases

arxiv: 1304.0649 · arxiv_version: 1304.0649v1 · doi: 10.48550/arxiv.1304.0649 · pith_short_12: JSBVFF7BYS66 · pith_short_16: JSBVFF7BYS667Z3F · pith_short_8: JSBVFF7B

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/JSBVFF7BYS667Z3F7HAA6OLMSJ \
  | 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: 4c835297e1c4bdefe765f9c00f396c9250a98ed5008611c0a4d05111640209e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d94dc35e1395205575fd4295d611b8de7df7a6d104b59ce31739ae268ffcdb59",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-02T14:35:23Z",
    "title_canon_sha256": "29d2733d70e77ccdb2a8d9e00c7802bafe9879b944d5dee90505d1dc68f2322d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0649",
    "kind": "arxiv",
    "version": 1
  }
}