Pith Number

pith:BXHUJXXM

pith:2026:BXHUJXXM2BJTOLFUTSZRD3BE3I

not attested not anchored not stored refs pending

Optimal bend-and-break for foliations

Jiedong Jiang, Jihao Liu, Zeming Sun

arxiv:2605.20754 v1 · 2026-05-20 · 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{BXHUJXXM2BJTOLFUTSZRD3BE3I}

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	2026-05-21T01:04:52.440283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dcf44deecd053372cb49cb311ec24da3416f1782757806781cad1fbb41f734d

Aliases

arxiv: 2605.20754 · arxiv_version: 2605.20754v1 · doi: 10.48550/arxiv.2605.20754 · pith_short_12: BXHUJXXM2BJT · pith_short_16: BXHUJXXM2BJTOLFU · pith_short_8: BXHUJXXM

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/BXHUJXXM2BJTOLFUTSZRD3BE3I \
  | 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: 0dcf44deecd053372cb49cb311ec24da3416f1782757806781cad1fbb41f734d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66e24c5ce682473159c77009dd0f4ef852ad191d7cd4f730dd3ea2256fc23101",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-20T05:53:24Z",
    "title_canon_sha256": "869cc8ca7ea6c5b58d417baee37bf79d02185db92449a762966fb6c5a15256b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20754",
    "kind": "arxiv",
    "version": 1
  }
}