Pith Number

pith:BUI3LLQZ

pith:2015:BUI3LLQZPZRRWS4XT5KFJBHMCX

not attested not anchored not stored refs pending

Mass formulas for local Galois representations and quotient singularities II: dualities and resolution of singularities

Melanie Machett Wood, Takehiko Yasuda

arxiv:1505.07577 v1 · 2015-05-28 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUI3LLQZPZRRWS4XT5KFJBHMCX}

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	2026-05-18T00:41:28.282849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d11b5ae197e631b4b979f545484ec15d7dd6dbf5b9998cf93c398834aa640ec

Aliases

arxiv: 1505.07577 · arxiv_version: 1505.07577v1 · doi: 10.48550/arxiv.1505.07577 · pith_short_12: BUI3LLQZPZRR · pith_short_16: BUI3LLQZPZRRWS4X · pith_short_8: BUI3LLQZ

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/BUI3LLQZPZRRWS4XT5KFJBHMCX \
  | 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: 0d11b5ae197e631b4b979f545484ec15d7dd6dbf5b9998cf93c398834aa640ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10d48601e409a59dd780e09a0987bd898b96a12c917fe3b2f6e559e5db092a51",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-28T07:50:28Z",
    "title_canon_sha256": "eef1d879bd3fbc4f91a54d8c1e185ad3640913d5c16cc933af813433656aa77f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07577",
    "kind": "arxiv",
    "version": 1
  }
}