Pith Number

pith:XTKDCZ2E

pith:2026:XTKDCZ2EECZFPLIHQEWC6V2ZE7

not attested not anchored not stored refs pending

Nonlinear Hodge correspondence for morphisms

Mao Sheng, Nianzi Li

arxiv:2607.13450 v1 · 2026-07-15 · math.DG · 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{XTKDCZ2EECZFPLIHQEWC6V2ZE7}

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	2026-07-16T01:22:13.434463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd431674420b257ad07812c2f575927f8ad5251ac5a87574f46150852e21141

Aliases

arxiv: 2607.13450 · arxiv_version: 2607.13450v1 · doi: 10.48550/arxiv.2607.13450 · pith_short_12: XTKDCZ2EECZF · pith_short_16: XTKDCZ2EECZFPLIH · pith_short_8: XTKDCZ2E

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/XTKDCZ2EECZFPLIHQEWC6V2ZE7 \
  | 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: bcd431674420b257ad07812c2f575927f8ad5251ac5a87574f46150852e21141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d39da2f3fd6f53daf3fb161a9c65b3ea6eb8afca1f5445eb44bc30bf72b829e3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-15T05:15:16Z",
    "title_canon_sha256": "fba97ce7e22e29c39eef257cc5718096f6f30d710142cbd93797ccf8ce2923b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13450",
    "kind": "arxiv",
    "version": 1
  }
}