Pith Number

pith:HP7YMZ3V

pith:2014:HP7YMZ3VL3YHVZT6YXSARINOLS

not attested not anchored not stored refs pending

An explicit bound for the first sign change of the Fourier coefficients

Sanoli Gun, Winfried Kohnen, YoungJu Choie

arxiv:1403.4712 v1 · 2014-03-19 · 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{HP7YMZ3VL3YHVZT6YXSARINOLS}

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	2026-05-18T02:56:04.626942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bff8667755ef07ae67ec5e408a1ae5c8e0e3e8bd2787909171abbca10e77778

Aliases

arxiv: 1403.4712 · arxiv_version: 1403.4712v1 · doi: 10.48550/arxiv.1403.4712 · pith_short_12: HP7YMZ3VL3YH · pith_short_16: HP7YMZ3VL3YHVZT6 · pith_short_8: HP7YMZ3V

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/HP7YMZ3VL3YHVZT6YXSARINOLS \
  | 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: 3bff8667755ef07ae67ec5e408a1ae5c8e0e3e8bd2787909171abbca10e77778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c70b7e73a8afcefb8aa9f3e814bb059fba2f5835441b0f696ff40f66552c5749",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-19T07:11:47Z",
    "title_canon_sha256": "f28b8db5101c2c54b2976507ee8ed0e6e9695a216aa833861cecd693f1215c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4712",
    "kind": "arxiv",
    "version": 1
  }
}