Pith Number

pith:HABTWWG4

pith:2010:HABTWWG4NH5NCRPXQJSEJKQH6N

not attested not anchored not stored refs pending

Doubly-Weighted Pseudo-Almost Periodic Functions

Toka Diagana

arxiv:1012.3043 v2 · 2010-12-14 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HABTWWG4NH5NCRPXQJSEJKQH6N}

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	2026-05-18T03:31:31.144387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38033b58dc69fad145f7826444aa07f36ca064114299eab13c2ca333dd35635c

Aliases

arxiv: 1012.3043 · arxiv_version: 1012.3043v2 · doi: 10.48550/arxiv.1012.3043 · pith_short_12: HABTWWG4NH5N · pith_short_16: HABTWWG4NH5NCRPX · pith_short_8: HABTWWG4

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/HABTWWG4NH5NCRPXQJSEJKQH6N \
  | 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: 38033b58dc69fad145f7826444aa07f36ca064114299eab13c2ca333dd35635c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef1d08f8276900778a5ff54e12d8eb1b098e52914413cbd8711b50e8c7d0e1c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-14T14:34:21Z",
    "title_canon_sha256": "637855f7ec81136a2be57ddb878ab0b609f058f031a0fc883631de5c12272db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3043",
    "kind": "arxiv",
    "version": 2
  }
}