Pith Number

pith:YALGCU4E

pith:2016:YALGCU4E7ZYDRF7AETC4OM7TB3

not attested not anchored not stored refs pending

Duality for relative logarithmic de Rham-Witt sheaves and wildly ramified class field theory over finite fields

Shuji Saito, Uwe Jannsen, Yigeng Zhao

arxiv:1611.08720 v4 · 2016-11-26 · math.AG · 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{YALGCU4E7ZYDRF7AETC4OM7TB3}

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	2026-05-17T23:53:12.938101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c016615384fe703897e024c5c733f30ed98663c196830121a8d01864304d0422

Aliases

arxiv: 1611.08720 · arxiv_version: 1611.08720v4 · doi: 10.48550/arxiv.1611.08720 · pith_short_12: YALGCU4E7ZYD · pith_short_16: YALGCU4E7ZYDRF7A · pith_short_8: YALGCU4E

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/YALGCU4E7ZYDRF7AETC4OM7TB3 \
  | 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: c016615384fe703897e024c5c733f30ed98663c196830121a8d01864304d0422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed7de4514fb3e2415af501e85e78e132857e91b307e1ad13ef0488238f7aa091",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-26T16:33:07Z",
    "title_canon_sha256": "78b7847d1d4f7199c91a985ebbb28e0f02f2a931dbd73e3d2cef9011e72d9f53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08720",
    "kind": "arxiv",
    "version": 4
  }
}