Pith Number

pith:UISSYAOB

pith:2016:UISSYAOB33B55F6DG5CZBE6USF

not attested not anchored not stored refs pending

On the number of harmonic frames

Shayne Waldron, Simon Marshall

arxiv:1611.07121 v1 · 2016-11-22 · math.FA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UISSYAOB33B55F6DG5CZBE6USF}

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	2026-05-18T00:57:24.856734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2252c01c1dec3de97c337459093d4916972a72a07a30b2b8ba99b66bfa6168c

Aliases

arxiv: 1611.07121 · arxiv_version: 1611.07121v1 · doi: 10.48550/arxiv.1611.07121 · pith_short_12: UISSYAOB33B5 · pith_short_16: UISSYAOB33B55F6D · pith_short_8: UISSYAOB

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/UISSYAOB33B55F6DG5CZBE6USF \
  | 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: a2252c01c1dec3de97c337459093d4916972a72a07a30b2b8ba99b66bfa6168c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa34b3dbe55cdff0d85e94b1213c686bb2994aeb8b2c527e9e2ecd1905dff883",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-22T01:51:25Z",
    "title_canon_sha256": "7ea23effba81d600d5b22242ad0d875b69ba45b74e5a374347a100bfdbb377d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07121",
    "kind": "arxiv",
    "version": 1
  }
}