Pith Number

pith:OCFOFC6L

pith:2025:OCFOFC6LRFMI5W2TIFDH3CVIE7

not attested not anchored not stored refs pending

$K$-theoretic pullbacks for Lagrangians on derived critical loci

Gufang Zhao, Yalong Cao, Yukinobu Toda

arxiv:2503.06025 v1 · 2025-03-08 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCFOFC6LRFMI5W2TIFDH3CVIE7}

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	2026-07-05T10:26:51.985123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

708ae28bcb89588edb5341467d8aa827d7342b20b2e2b681b38e7aa67e195430

Aliases

arxiv: 2503.06025 · arxiv_version: 2503.06025v1 · doi: 10.48550/arxiv.2503.06025 · pith_short_12: OCFOFC6LRFMI · pith_short_16: OCFOFC6LRFMI5W2T · pith_short_8: OCFOFC6L

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/OCFOFC6LRFMI5W2TIFDH3CVIE7 \
  | 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: 708ae28bcb89588edb5341467d8aa827d7342b20b2e2b681b38e7aa67e195430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241cdf083de4bd9e7b2cff8e49bf2fc780a576745c7cec8fafaa702344105236",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-03-08T02:57:37Z",
    "title_canon_sha256": "f3d702abe6576d407488a21d9055de87345da9d51c8656a02cf63239f42596cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.06025",
    "kind": "arxiv",
    "version": 1
  }
}