Pith Number

pith:FGVNMFTA

pith:2011:FGVNMFTAYNBDQVTYOFA2EQZQJR

not attested not anchored not stored refs pending

Rings of microdifferential operators for arithmetic $\mathscr{D}$-modules

Tomoyuki Abe

arxiv:1104.1574 v3 · 2011-04-08 · 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{FGVNMFTAYNBDQVTYOFA2EQZQJR}

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	2026-05-18T02:56:42.629489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29aad61660c3423856787141a243304c5f3e25e03b4f88f7cfa6dac53a3c2400

Aliases

arxiv: 1104.1574 · arxiv_version: 1104.1574v3 · doi: 10.48550/arxiv.1104.1574 · pith_short_12: FGVNMFTAYNBD · pith_short_16: FGVNMFTAYNBDQVTY · pith_short_8: FGVNMFTA

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/FGVNMFTAYNBDQVTYOFA2EQZQJR \
  | 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: 29aad61660c3423856787141a243304c5f3e25e03b4f88f7cfa6dac53a3c2400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b747a0bb53a92ce575c5d796b1d5cde0404f4b114f705a41c99cd5223384798",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-08T13:51:21Z",
    "title_canon_sha256": "ccdd79d1991a5f85c30ff5efc0c5e29880acfc8a4cf243ef600ae2dc76c00b72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1574",
    "kind": "arxiv",
    "version": 3
  }
}