Pith Number

pith:GME4J4UO

pith:2011:GME4J4UODF6Y4T63KQYDXFJQYI

not attested not anchored not stored refs pending

Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture

Andreas Nickel

arxiv:1108.1062 v3 · 2011-08-04 · 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{GME4J4UODF6Y4T63KQYDXFJQYI}

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	2026-05-18T00:55:39.736592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3309c4f28e197d8e4fdb54303b9530c20773227dfd21d8c6caef94c56665f080

Aliases

arxiv: 1108.1062 · arxiv_version: 1108.1062v3 · doi: 10.48550/arxiv.1108.1062 · pith_short_12: GME4J4UODF6Y · pith_short_16: GME4J4UODF6Y4T63 · pith_short_8: GME4J4UO

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/GME4J4UODF6Y4T63KQYDXFJQYI \
  | 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: 3309c4f28e197d8e4fdb54303b9530c20773227dfd21d8c6caef94c56665f080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "275b365b25a7c9cd8338e4d67a4643f2394671c25b9337e811804cd4e29d1f05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-04T12:20:02Z",
    "title_canon_sha256": "dd083cfe461d4eef58ff78b071feb5b3fadc234c189eb13124fd5fdc17d8b1e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1062",
    "kind": "arxiv",
    "version": 3
  }
}