Pith Number

pith:4IMDQWOB

pith:2025:4IMDQWOBLF6KW2LR2TH2GJHUT6

not attested not anchored not stored refs pending

Degeneration of Calabi-Yau metrics and canonical basis

Yang Li

arxiv:2505.11087 v1 · 2025-05-16 · 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{4IMDQWOBLF6KW2LR2TH2GJHUT6}

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

4 papers in Pith

What to do with a Ricci-flat Calabi--Yau metric?

Valuative independence for Calabi--Yau varieties

Valuative independence and metric SYZ conjecture

Valuatively independent bases for the Fermat family of cubic curves

Receipt and verification

First computed	2026-07-05T11:04:10.532960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2183859c1597cab6971d4cfa324f49f94d1f02ca2e5da63431e2a06e404bf88

Aliases

arxiv: 2505.11087 · arxiv_version: 2505.11087v1 · doi: 10.48550/arxiv.2505.11087 · pith_short_12: 4IMDQWOBLF6K · pith_short_16: 4IMDQWOBLF6KW2LR · pith_short_8: 4IMDQWOB

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/4IMDQWOBLF6KW2LR2TH2GJHUT6 \
  | 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: e2183859c1597cab6971d4cfa324f49f94d1f02ca2e5da63431e2a06e404bf88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84371d9ad870b9f95a13b4ef57ce823ddfe5de0f6f660b03524616fa184cd6cf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-16T10:21:15Z",
    "title_canon_sha256": "40302e59446f1e02de7e0bc75923d7841e662d41ac7e13548236a9afd208b9a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.11087",
    "kind": "arxiv",
    "version": 1
  }
}