Pith Number

pith:LVFXB46W

pith:2026:LVFXB46WUJKSIDTMEY54RNMRM3

not attested not anchored not stored refs pending

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity

Jianjun Liu, Lei Hou, Song-Yan Xie, Tao Cui

arxiv:2606.19155 v1 · 2026-06-17 · 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{LVFXB46WUJKSIDTMEY54RNMRM3}

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	2026-06-19T16:11:57.964741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d4b70f3d6a255240e6c263bc8b59166c4f61b463caae9952bf70b44ea054afc

Aliases

arxiv: 2606.19155 · arxiv_version: 2606.19155v1 · doi: 10.48550/arxiv.2606.19155 · pith_short_12: LVFXB46WUJKS · pith_short_16: LVFXB46WUJKSIDTM · pith_short_8: LVFXB46W

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/LVFXB46WUJKSIDTMEY54RNMRM3 \
  | 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: 5d4b70f3d6a255240e6c263bc8b59166c4f61b463caae9952bf70b44ea054afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cbfd4b1ef5a4b61e065c7803b802b2ebf202b13e61c2eeca1fc8dcd8ea59c41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-17T14:58:14Z",
    "title_canon_sha256": "21216a0e74b1193ab8af4035f856a218b527a29ed770604f9a084fbb993f88c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19155",
    "kind": "arxiv",
    "version": 1
  }
}