Pith Number

pith:WFVMXD2Q

pith:2026:WFVMXD2QWTX6ZVWDHB46NY2GPQ

not attested not anchored not stored refs pending

Shokurov's global index conjecture for threefold foliations

Jihao Liu, Sheng Qin

arxiv:2605.22735 v1 · 2026-05-21 · 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{WFVMXD2QWTX6ZVWDHB46NY2GPQ}

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	2026-05-22T02:04:52.471029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b16acb8f50b4efecd6c33879e6e3467c315d54019ed294d429920eb9a0ed667d

Aliases

arxiv: 2605.22735 · arxiv_version: 2605.22735v1 · doi: 10.48550/arxiv.2605.22735 · pith_short_12: WFVMXD2QWTX6 · pith_short_16: WFVMXD2QWTX6ZVWD · pith_short_8: WFVMXD2Q

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/WFVMXD2QWTX6ZVWDHB46NY2GPQ \
  | 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: b16acb8f50b4efecd6c33879e6e3467c315d54019ed294d429920eb9a0ed667d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ecefc1edf30faa1f297ed4f1dbd2691165b13f56a81b0e00f7ed41f6032f491",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-21T17:05:24Z",
    "title_canon_sha256": "59a1b8c3f51cad215297e5201fcec2b38fa5ec83f45f64b8af196ee09ed02fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22735",
    "kind": "arxiv",
    "version": 1
  }
}