Pith Number

pith:4HOZ6KKH

pith:2017:4HOZ6KKHPYQPCOEVWQVMFYMHDT

not attested not anchored not stored refs pending

Lacunary Eta-quotients Modulo Powers of Primes

Anya Michaelsen, Emily Stamm, Tessa Cotron, Weitao Zhu

arxiv:1707.04627 v2 · 2017-07-14 · 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{4HOZ6KKHPYQPCOEVWQVMFYMHDT}

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	2026-05-17T23:56:39.018236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1dd9f29477e20f13895b42ac2e1871cf7b17ece8479cbfe80dcd6509cd38e22

Aliases

arxiv: 1707.04627 · arxiv_version: 1707.04627v2 · doi: 10.48550/arxiv.1707.04627 · pith_short_12: 4HOZ6KKHPYQP · pith_short_16: 4HOZ6KKHPYQPCOEV · pith_short_8: 4HOZ6KKH

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/4HOZ6KKHPYQPCOEVWQVMFYMHDT \
  | 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: e1dd9f29477e20f13895b42ac2e1871cf7b17ece8479cbfe80dcd6509cd38e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f33afd683549d614a7386b64e0cfd993763a05fd75df70caa803881b92aad596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-14T20:15:16Z",
    "title_canon_sha256": "51022277d289ba2a30b3c284daa72cdb27622d96de16e9fe037fde14675add2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04627",
    "kind": "arxiv",
    "version": 2
  }
}