Pith Number

pith:LXGAVFHX

pith:2010:LXGAVFHX5FKI5DZVDS6UNG2SWJ

not attested not anchored not stored refs pending

Ramification theory for varieties over a local field

Kazuya Kato, Takeshi Saito

arxiv:1007.0310 v2 · 2010-07-02 · 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{LXGAVFHX5FKI5DZVDS6UNG2SWJ}

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	2026-05-18T03:25:33.635515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dcc0a94f7e9548e8f351cbd469b52b246e6cdcf6f24d1d3e34cfba15c7ba5f0

Aliases

arxiv: 1007.0310 · arxiv_version: 1007.0310v2 · doi: 10.48550/arxiv.1007.0310 · pith_short_12: LXGAVFHX5FKI · pith_short_16: LXGAVFHX5FKI5DZV · pith_short_8: LXGAVFHX

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/LXGAVFHX5FKI5DZVDS6UNG2SWJ \
  | 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: 5dcc0a94f7e9548e8f351cbd469b52b246e6cdcf6f24d1d3e34cfba15c7ba5f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c66f5bd10b8753c95269fba55c93ec49241fb75dd5775c34818b4c980253a183",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-02T07:42:57Z",
    "title_canon_sha256": "e9c624c61fdbfa15481ce57cbb9dc517069077fe29b39bcd1eff632a0bd3ae35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0310",
    "kind": "arxiv",
    "version": 2
  }
}