Pith Number

pith:3VEFNTUH

pith:2026:3VEFNTUHBX7TB2XTJJNFI3Z24W

not attested not anchored not stored refs pending

Sections of Hodge bundles I: Global theory and applications to period maps

Kefeng Liu, Yang Shen

arxiv:2602.13947 v2 · 2026-02-15 · 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{3VEFNTUHBX7TB2XTJJNFI3Z24W}

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.

Cited by

1 paper in Pith

Degenerations and Stability of K\"ahler Structures on Calabi--Yau Manifolds

Receipt and verification

First computed	2026-07-21T01:20:43.917769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4856ce870dff30eaf34a5a546f3ae5954065e8447777c1c362e1de8e3afca4

Aliases

arxiv: 2602.13947 · arxiv_version: 2602.13947v2 · doi: 10.48550/arxiv.2602.13947 · pith_short_12: 3VEFNTUHBX7T · pith_short_16: 3VEFNTUHBX7TB2XT · pith_short_8: 3VEFNTUH

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/3VEFNTUHBX7TB2XTJJNFI3Z24W \
  | 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: dd4856ce870dff30eaf34a5a546f3ae5954065e8447777c1c362e1de8e3afca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ab8b35051271a6b1007655176d5d995612a654afd77725ce6a41e5f7341805b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-02-15T01:15:04Z",
    "title_canon_sha256": "50cbe69a79d59a687c8c522cbcd0dbf822f51e9c620c6d868581da6b587bfa7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.13947",
    "kind": "arxiv",
    "version": 2
  }
}