Pith Number

pith:273TVX3L

pith:2017:273TVX3LYEUOX7VWQQXMLAURVG

not attested not anchored not stored refs pending

On the kernel of the theta operator mod p

Hirotaka Kodama, Shoyu Nagaoka, Siegfried Boecherer

arxiv:1707.03680 v1 · 2017-07-12 · 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{273TVX3LYEUOX7VWQQXMLAURVG}

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	2026-05-18T00:40:25.312797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f73adf6bc128ebfeb6842ec58291a9b01406e972e3cca057f2c0ae887b5fc0

Aliases

arxiv: 1707.03680 · arxiv_version: 1707.03680v1 · doi: 10.48550/arxiv.1707.03680 · pith_short_12: 273TVX3LYEUO · pith_short_16: 273TVX3LYEUOX7VW · pith_short_8: 273TVX3L

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/273TVX3LYEUOX7VWQQXMLAURVG \
  | 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: d7f73adf6bc128ebfeb6842ec58291a9b01406e972e3cca057f2c0ae887b5fc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c26d791b794ec586e1af596ceafcb5c94cd602f389c1ab762051ca8a115003",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-12T12:47:12Z",
    "title_canon_sha256": "4e1cb04db6d65818b7a518037bc70711bb73ccbc53f2bd726d61c463c7758bd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03680",
    "kind": "arxiv",
    "version": 1
  }
}