Pith Number

pith:ZFEFA5AR

pith:2016:ZFEFA5ARTLSQBSC3F2LDZY7VCM

not attested not anchored not stored refs pending

On transfer operators on the circle with trigonometric weights

Hans Volkmer, Xianghong Chen

arxiv:1610.07658 v1 · 2016-10-24 · math.DS · math.CA · 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{ZFEFA5ARTLSQBSC3F2LDZY7VCM}

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	2026-05-18T01:01:21.567522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9485074119ae500c85b2e963ce3f5132d526bde544e9da37151e0623368a35f

Aliases

arxiv: 1610.07658 · arxiv_version: 1610.07658v1 · doi: 10.48550/arxiv.1610.07658 · pith_short_12: ZFEFA5ARTLSQ · pith_short_16: ZFEFA5ARTLSQBSC3 · pith_short_8: ZFEFA5AR

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/ZFEFA5ARTLSQBSC3F2LDZY7VCM \
  | 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: c9485074119ae500c85b2e963ce3f5132d526bde544e9da37151e0623368a35f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c25f5e96291d24ee554c47a743cb3cd5e8990eb67681120cfc64e084be1925",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-24T21:38:03Z",
    "title_canon_sha256": "4ee7668ef84d46aa6953e8ea5469764214185018f4a9f138203996d8bc61c445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07658",
    "kind": "arxiv",
    "version": 1
  }
}