Pith Number

pith:SWOL2R6A

pith:2017:SWOL2R6AAFHL64O6CBBFUYDD6Q

not attested not anchored not stored refs pending

Periodic monopoles and difference modules

Takuro Mochizuki

arxiv:1712.08981 v4 · 2017-12-25 · math.DG · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWOL2R6AAFHL64O6CBBFUYDD6Q}

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.

Cited by

1 paper in Pith

Non-Abelian Hodge Theory and Related Topics

Receipt and verification

First computed	2026-07-05T03:15:25.142726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

959cbd47c0014ebf71de10425a6063f40b5e374b1540b37587f2287ab78d7723

Aliases

arxiv: 1712.08981 · arxiv_version: 1712.08981v4 · doi: 10.48550/arxiv.1712.08981 · pith_short_12: SWOL2R6AAFHL · pith_short_16: SWOL2R6AAFHL64O6 · pith_short_8: SWOL2R6A

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/SWOL2R6AAFHL64O6CBBFUYDD6Q \
  | 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: 959cbd47c0014ebf71de10425a6063f40b5e374b1540b37587f2287ab78d7723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47a2af56fa8abfbf40e51b119cee8067901366a2d969660a9915200f038c778d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-25T01:12:41Z",
    "title_canon_sha256": "010feaca72ee7f1bcfc9843210cb21bb783575851f5849a434fbc370132b0522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08981",
    "kind": "arxiv",
    "version": 4
  }
}