Pith Number

pith:YAAO7ECU

pith:2016:YAAO7ECUIVT2AZQWHW4DKO4OOO

not attested not anchored not stored refs pending

Distribution of gaps between eigenangles of Hecke operators

Sudhir Pujahari

arxiv:1603.06249 v2 · 2016-03-20 · 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{YAAO7ECUIVT2AZQWHW4DKO4OOO}

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	2026-05-18T00:50:40.322114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c000ef90544567a066163db8353b8e73951591c23030c6acf6a12dfeb87325bf

Aliases

arxiv: 1603.06249 · arxiv_version: 1603.06249v2 · doi: 10.48550/arxiv.1603.06249 · pith_short_12: YAAO7ECUIVT2 · pith_short_16: YAAO7ECUIVT2AZQW · pith_short_8: YAAO7ECU

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/YAAO7ECUIVT2AZQWHW4DKO4OOO \
  | 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: c000ef90544567a066163db8353b8e73951591c23030c6acf6a12dfeb87325bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eef7ed1d767550e110e99bbf59b2f00a7f60d537f63b4b2a23c8ce8ef8b6cfde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-20T17:58:58Z",
    "title_canon_sha256": "b8d21e3f4cf5459402dc6678568b6e10ea4a2b64cf3bcdba1294960de70cc680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06249",
    "kind": "arxiv",
    "version": 2
  }
}