Pith Number

pith:4YAFH4J6

pith:2018:4YAFH4J6EABIMCCBPFCMXN4AUK

not attested not anchored not stored refs pending

An algorithm for computing Grothendieck local residues II --- general case ---

Katsuyoshi Ohara, Shinichi Tajima

arxiv:1811.08054 v1 · 2018-11-20 · math.AC · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YAFH4J6EABIMCCBPFCMXN4AUK}

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	2026-05-18T00:00:16.999414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e60053f13e20028608417944cbb780a2b59acd0a1baba7adacead4a5eef2c0f1

Aliases

arxiv: 1811.08054 · arxiv_version: 1811.08054v1 · doi: 10.48550/arxiv.1811.08054 · pith_short_12: 4YAFH4J6EABI · pith_short_16: 4YAFH4J6EABIMCCB · pith_short_8: 4YAFH4J6

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/4YAFH4J6EABIMCCBPFCMXN4AUK \
  | 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: e60053f13e20028608417944cbb780a2b59acd0a1baba7adacead4a5eef2c0f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fda79975b2295f6a810955dc9ce2806d8c1b53e0df7fd01cebd2c685cebe3af9",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-11-20T03:30:26Z",
    "title_canon_sha256": "041d4bd638b9d0afc211117caecb2e8ee75dc767bc9918524444322ccff48eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08054",
    "kind": "arxiv",
    "version": 1
  }
}