Pith Number

pith:VZEV4FSQ

pith:2014:VZEV4FSQK6Y7WUPTV22J75ZUDS

not attested not anchored not stored refs pending

Graded duality for filtered D-modules

Christian Schnell, Morihiko Saito

arxiv:1407.0157 v1 · 2014-07-01 · 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{VZEV4FSQK6Y7WUPTV22J75ZUDS}

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	2026-05-18T02:48:35.007533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae495e165057b1fb51f3aeb49ff7341cb2a7cc835be15966b108c2e82a749b8d

Aliases

arxiv: 1407.0157 · arxiv_version: 1407.0157v1 · doi: 10.48550/arxiv.1407.0157 · pith_short_12: VZEV4FSQK6Y7 · pith_short_16: VZEV4FSQK6Y7WUPT · pith_short_8: VZEV4FSQ

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/VZEV4FSQK6Y7WUPTV22J75ZUDS \
  | 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: ae495e165057b1fb51f3aeb49ff7341cb2a7cc835be15966b108c2e82a749b8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f4b69706112ed4ca688f0a19ac1cb771e0a152b2675248f3929dee97c46140",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-01T09:31:55Z",
    "title_canon_sha256": "213c2a4ab5e1ce2b363c889a69b1f77f2b53a84d60bd9b61104b2b56d436386e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0157",
    "kind": "arxiv",
    "version": 1
  }
}