Pith Number

pith:VOFT54KM

pith:2019:VOFT54KM3QGPPFYNPCSZ4IR3JT

not attested not anchored not stored refs pending

Log D-modules and Index theorems

Lei Wu, Peng Zhou

arxiv:1904.09276 v2 · 2019-04-19 · 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{VOFT54KM3QGPPFYNPCSZ4IR3JT}

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	2026-07-05T00:29:37.790616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab8b3ef14cdc0cf7970d78a59e223b4cdcb30344fb0c821721fc8abcbb121cf9

Aliases

arxiv: 1904.09276 · arxiv_version: 1904.09276v2 · doi: 10.48550/arxiv.1904.09276 · pith_short_12: VOFT54KM3QGP · pith_short_16: VOFT54KM3QGPPFYN · pith_short_8: VOFT54KM

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/VOFT54KM3QGPPFYNPCSZ4IR3JT \
  | 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: ab8b3ef14cdc0cf7970d78a59e223b4cdcb30344fb0c821721fc8abcbb121cf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09cc093b458269dfb6ca8c661f7a3a16fbe09aa3fce625f6d4089cb5ef8b259",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-19T17:24:11Z",
    "title_canon_sha256": "02bda1751c63fcb96f174bc28d98302a5ca4ca30558636f6816f6e5436b19a0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09276",
    "kind": "arxiv",
    "version": 2
  }
}