Pith Number

pith:K5K2WONR

pith:2017:K5K2WONRSHCGWSIDUERAFMJXRN

not attested not anchored not stored refs pending

Characteristic cycle of a rank one sheaf and ramification theory

Yuri Yatagawa

arxiv:1712.09234 v1 · 2017-12-26 · 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{K5K2WONRSHCGWSIDUERAFMJXRN}

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	2026-05-18T00:27:14.131747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5755ab39b191c46b4903a12202b1378b58ed51286ca0d847e15dd412f7f24a23

Aliases

arxiv: 1712.09234 · arxiv_version: 1712.09234v1 · doi: 10.48550/arxiv.1712.09234 · pith_short_12: K5K2WONRSHCG · pith_short_16: K5K2WONRSHCGWSID · pith_short_8: K5K2WONR

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/K5K2WONRSHCGWSIDUERAFMJXRN \
  | 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: 5755ab39b191c46b4903a12202b1378b58ed51286ca0d847e15dd412f7f24a23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369d2ff0b9a663981e5de6338ccde238245c73595f4836168da2f2cf6658bd11",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-26T11:01:26Z",
    "title_canon_sha256": "18671b7c02b744a734c24f9c5c1a61d7b36445fb7415c357155f5b1ca45db143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09234",
    "kind": "arxiv",
    "version": 1
  }
}