Pith Number

pith:V4BS2C2K

pith:2015:V4BS2C2KGTRZ32HZXRYSOZMUMD

not attested not anchored not stored refs pending

D-modules generated by rational powers of holomorphic functions

Morihiko Saito

arxiv:1507.01877 v6 · 2015-07-07 · 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{V4BS2C2KGTRZ32HZXRYSOZMUMD}

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	2026-05-17T23:51:44.710730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af032d0b4a34e39de8f9bc7127659460c13bc4ffcefdcdf9f1c7616e60990584

Aliases

arxiv: 1507.01877 · arxiv_version: 1507.01877v6 · doi: 10.48550/arxiv.1507.01877 · pith_short_12: V4BS2C2KGTRZ · pith_short_16: V4BS2C2KGTRZ32HZ · pith_short_8: V4BS2C2K

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/V4BS2C2KGTRZ32HZXRYSOZMUMD \
  | 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: af032d0b4a34e39de8f9bc7127659460c13bc4ffcefdcdf9f1c7616e60990584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0bda76fbcb44a64af57f91b555a73f5b35e0cc8bd95b53c55d506b27ba3d745",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-07T17:06:47Z",
    "title_canon_sha256": "25af7a7ca5f7df3b3cbb81b7c2dc92b7b061d76a7360210295ea549b4390852a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01877",
    "kind": "arxiv",
    "version": 6
  }
}