Pith Number

pith:MVI73EHD

pith:2017:MVI73EHDBK74H3YVMG3DUWXAYI

not attested not anchored not stored refs pending

Relative Hecke's integral formula for an arbitrary extension of number fields

Hohto Bekki

arxiv:1712.08392 v2 · 2017-12-22 · 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{MVI73EHDBK74H3YVMG3DUWXAYI}

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	2026-05-18T00:23:52.333924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6551fd90e30abfc3ef1561b63a5ae0c221b9709cf1f118fb70d8aaad31f55b84

Aliases

arxiv: 1712.08392 · arxiv_version: 1712.08392v2 · doi: 10.48550/arxiv.1712.08392 · pith_short_12: MVI73EHDBK74 · pith_short_16: MVI73EHDBK74H3YV · pith_short_8: MVI73EHD

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/MVI73EHDBK74H3YVMG3DUWXAYI \
  | 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: 6551fd90e30abfc3ef1561b63a5ae0c221b9709cf1f118fb70d8aaad31f55b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e2d28c53c8b50bd14f3562b4bf17649697f924c5a766443a88f6e7f4af76a37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-22T11:05:21Z",
    "title_canon_sha256": "8dd99ff78d63a4f4eb184640b91e3a0a0bc195892642628faf6420ed1d3547f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08392",
    "kind": "arxiv",
    "version": 2
  }
}