Pith Number

pith:TR62TZBH

pith:2000:TR62TZBH33CPDQOA5SLB7URE3K

not attested not anchored not stored refs pending

Reflection symmetries of almost periodic functions

David Damanik (Caltech), Rowan Killip (Caltech)

arxiv:math-ph/0005018 v1 · 2000-05-16 · math-ph · math.FA · 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{TR62TZBH33CPDQOA5SLB7URE3K}

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	2026-05-18T02:30:16.590688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c7da9e427dec4f1c1c0ec961fd224da8b9325735e7b2f5f407507b3acc72682

Aliases

arxiv: math-ph/0005018 · arxiv_version: math-ph/0005018v1 · doi: 10.48550/arxiv.math-ph/0005018 · pith_short_12: TR62TZBH33CP · pith_short_16: TR62TZBH33CPDQOA · pith_short_8: TR62TZBH

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/TR62TZBH33CPDQOA5SLB7URE3K \
  | 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: 9c7da9e427dec4f1c1c0ec961fd224da8b9325735e7b2f5f407507b3acc72682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d5ed2d83711579ceab670701167c21d18b3181efc69e5d7b8c4ed9a40a37866",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-05-16T08:08:20Z",
    "title_canon_sha256": "7d7470a2bd03bc2b70183fee42af3a1c871296771e0e9a156c860dd102febb32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0005018",
    "kind": "arxiv",
    "version": 1
  }
}