Pith Number

pith:4R5FJJVU

pith:2013:4R5FJJVUXMMIZFS7XPQ2VNEDEP

not attested not anchored not stored refs pending

The local equivariant Tamagawa number conjecture for almost abelian extensions

Jennifer Johnson-Leung

arxiv:1307.2607 v1 · 2013-07-09 · 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{4R5FJJVUXMMIZFS7XPQ2VNEDEP}

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	2026-05-18T03:18:50.954655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47a54a6b4bb188c965fbbe1aab48323d64e0e0e612cce110ab0633d170b68dd

Aliases

arxiv: 1307.2607 · arxiv_version: 1307.2607v1 · doi: 10.48550/arxiv.1307.2607 · pith_short_12: 4R5FJJVUXMMI · pith_short_16: 4R5FJJVUXMMIZFS7 · pith_short_8: 4R5FJJVU

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/4R5FJJVUXMMIZFS7XPQ2VNEDEP \
  | 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: e47a54a6b4bb188c965fbbe1aab48323d64e0e0e612cce110ab0633d170b68dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19dab167159a96f96d829c719a175a440dc08f4c32baa41e533281796024e03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-09T21:59:28Z",
    "title_canon_sha256": "536a5a8449cadc7cb586c3de8c7385b7d621c5a4d33b7ab1127b277619e492f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2607",
    "kind": "arxiv",
    "version": 1
  }
}