Pith Number

pith:LICKXZZG

pith:2026:LICKXZZGCWMSB3B3YIZH2C2ACA

not attested not anchored not stored refs pending

Lagrangian Submanifolds with Legendrian Boundary in the Unit Ball

Dong Gao, Hui Ma, Zeke Yao

arxiv:2606.24683 v1 · 2026-06-23 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LICKXZZGCWMSB3B3YIZH2C2ACA}

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	2026-06-24T01:15:39.138502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a04abe726159920ec3bc2327d0b401016d771575317ea2ae0975288511ba4f1

Aliases

arxiv: 2606.24683 · arxiv_version: 2606.24683v1 · doi: 10.48550/arxiv.2606.24683 · pith_short_12: LICKXZZGCWMS · pith_short_16: LICKXZZGCWMSB3B3 · pith_short_8: LICKXZZG

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/LICKXZZGCWMSB3B3YIZH2C2ACA \
  | 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: 5a04abe726159920ec3bc2327d0b401016d771575317ea2ae0975288511ba4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cb6b162fa59d66ae3a26f0e77284c4721c38864f38432b4fc050994c8247d9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-23T15:12:22Z",
    "title_canon_sha256": "296d36c9157a11e84dfe82edf215d04265ae64732ecffcd153aa9f1217235bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24683",
    "kind": "arxiv",
    "version": 1
  }
}