Pith Number

pith:CT7OBM4F

pith:2022:CT7OBM4FEMPWVIEVPD3277ERZK

not attested not anchored not stored refs pending

Borel $(\alpha,\beta)$-multitransforms and Quantum Leray-Hirsch: integral representations of solutions of quantum differential equations for $\mathbb P^1$-bundles

Giordano Cotti

arxiv:2210.05445 v2 · 2022-10-11 · math.AG · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CT7OBM4FEMPWVIEVPD3277ERZK}

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

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Receipt and verification

First computed	2026-07-05T09:14:26.497509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14fee0b385231f6aa09578f7affc91cab53f548782694855c5347ed085c83f7a

Aliases

arxiv: 2210.05445 · arxiv_version: 2210.05445v2 · doi: 10.48550/arxiv.2210.05445 · pith_short_12: CT7OBM4FEMPW · pith_short_16: CT7OBM4FEMPWVIEV · pith_short_8: CT7OBM4F

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/CT7OBM4FEMPWVIEVPD3277ERZK \
  | 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: 14fee0b385231f6aa09578f7affc91cab53f548782694855c5347ed085c83f7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f644c0ef0f968b338ac5f2e2a5604aaa6b06d0044add2770ab05e4b4ebf092b",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-10-11T13:41:37Z",
    "title_canon_sha256": "8bb4e9df5c097725f6f21a799de00f676d6ac49052c429bf81522595a5504b95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.05445",
    "kind": "arxiv",
    "version": 2
  }
}