Pith Number

pith:KHO7DK3E

pith:2014:KHO7DK3EBXHTCECY36BHBPQ7C4

not attested not anchored not stored refs pending

Finite quotients of Z[C_n]-lattices and Tamagawa numbers of semistable abelian varieties

L. Alexander Betts, Vladimir Dokchitser

arxiv:1405.3151 v3 · 2014-05-13 · 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{KHO7DK3EBXHTCECY36BHBPQ7C4}

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	2026-05-18T01:25:47.661872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51ddf1ab640dcf311058df8270be1f1700ea1a98d83bc84e54ea6615b07e26c3

Aliases

arxiv: 1405.3151 · arxiv_version: 1405.3151v3 · doi: 10.48550/arxiv.1405.3151 · pith_short_12: KHO7DK3EBXHT · pith_short_16: KHO7DK3EBXHTCECY · pith_short_8: KHO7DK3E

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/KHO7DK3EBXHTCECY36BHBPQ7C4 \
  | 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: 51ddf1ab640dcf311058df8270be1f1700ea1a98d83bc84e54ea6615b07e26c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "829b4c0957709bd33c7fecfc3d2426818fb08c9c2e7c6c4a90a0cf902b56e298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-13T13:58:13Z",
    "title_canon_sha256": "4cab25a32ec80b273643766d0c55266ea6af86ecd8e0f2c883e6270d06d3d2c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3151",
    "kind": "arxiv",
    "version": 3
  }
}