Pith Number

pith:7OW5N2WR

pith:2017:7OW5N2WR3NALT4PYTGGGC5O53U

not attested not anchored not stored refs pending

Entropy of an autoequivalence on Calabi-Yau manifolds

Yu-Wei Fan

arxiv:1704.06957 v2 · 2017-04-23 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OW5N2WR3NALT4PYTGGGC5O53U}

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

Primitive invariants from laminations

Receipt and verification

First computed	2026-05-18T00:01:10.543520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbadd6ead1db40b9f1f8998c6175dddd24b7a0c61d704aeb9460eef7406906de

Aliases

arxiv: 1704.06957 · arxiv_version: 1704.06957v2 · doi: 10.48550/arxiv.1704.06957 · pith_short_12: 7OW5N2WR3NAL · pith_short_16: 7OW5N2WR3NALT4PY · pith_short_8: 7OW5N2WR

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/7OW5N2WR3NALT4PYTGGGC5O53U \
  | 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: fbadd6ead1db40b9f1f8998c6175dddd24b7a0c61d704aeb9460eef7406906de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "726f91ffcd42613fd4e11eb0ebf2af09801648271d06c496607002f02e2fd09c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-04-23T18:24:50Z",
    "title_canon_sha256": "39d501176ea35fdaa04e4bd1227f4abae8ddb344f1debcc6a8e57d752808827e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06957",
    "kind": "arxiv",
    "version": 2
  }
}