Pith Number

pith:7HS7YR7S

pith:2016:7HS7YR7SKPKMNDQ3SPJNEA5Z5H

not attested not anchored not stored refs pending

The volume of singular K\"ahler-Einstein Fano varieties

Yuchen Liu

arxiv:1605.01034 v5 · 2016-05-03 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HS7YR7SKPKMNDQ3SPJNEA5Z5H}

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	2026-05-17T23:53:13.197389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9e5fc47f253d4c68e1b93d2d203b9e9e27840a21f3c939d8f988ab88452515a

Aliases

arxiv: 1605.01034 · arxiv_version: 1605.01034v5 · doi: 10.48550/arxiv.1605.01034 · pith_short_12: 7HS7YR7SKPKM · pith_short_16: 7HS7YR7SKPKMNDQ3 · pith_short_8: 7HS7YR7S

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/7HS7YR7SKPKMNDQ3SPJNEA5Z5H \
  | 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: f9e5fc47f253d4c68e1b93d2d203b9e9e27840a21f3c939d8f988ab88452515a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e5edc4875db58412bdc8c0fa40266a626b07bff9ac8c94319545120b5cdf013",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-03T19:26:33Z",
    "title_canon_sha256": "09fc719c9eb1e060deae95ad9d112b60aa42379a7ce8876b8e287082782feaf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01034",
    "kind": "arxiv",
    "version": 5
  }
}