Pith Number

pith:Q7PNHPFU

pith:2003:Q7PNHPFU4QRJWKAOZGFZC7MWEI

not attested not anchored not stored refs pending

On a problem with nonperiodic frequent alternation of boundary condition imposed on fast oscillating sets

Denis I. Borisov

arxiv:math-ph/0306052 v2 · 2003-06-21 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7PNHPFU4QRJWKAOZGFZC7MWEI}

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	2026-05-18T01:38:33.770853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87ded3bcb4e4229b280ec98b917d962238e2fc1ff5efc274ec01c115ff028164

Aliases

arxiv: math-ph/0306052 · arxiv_version: math-ph/0306052v2 · doi: 10.48550/arxiv.math-ph/0306052 · pith_short_12: Q7PNHPFU4QRJ · pith_short_16: Q7PNHPFU4QRJWKAO · pith_short_8: Q7PNHPFU

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/Q7PNHPFU4QRJWKAOZGFZC7MWEI \
  | 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: 87ded3bcb4e4229b280ec98b917d962238e2fc1ff5efc274ec01c115ff028164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "206998e161527afb3a72aebd9ae0262101d0a863aa7340e892ba1ff9084944c9",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-06-21T10:41:42Z",
    "title_canon_sha256": "7615756a2e37c9c467fee896be1c531ee92f9d1e97a32cfaa1000065785b2eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0306052",
    "kind": "arxiv",
    "version": 2
  }
}