Pith Number

pith:772OVB5R

pith:2018:772OVB5RDYEFEVTBSLDBALSKBE

not attested not anchored not stored refs pending

Seshadri constants of the anticanonical divisors of Fano manifolds with large index

Jie Liu

arxiv:1806.05087 v3 · 2018-06-13 · 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{772OVB5RDYEFEVTBSLDBALSKBE}

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	2026-05-17T23:50:42.698135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fff4ea87b11e0852566192c6102e4a090170b48f050598882d60f4b435977c63

Aliases

arxiv: 1806.05087 · arxiv_version: 1806.05087v3 · doi: 10.48550/arxiv.1806.05087 · pith_short_12: 772OVB5RDYEF · pith_short_16: 772OVB5RDYEFEVTB · pith_short_8: 772OVB5R

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/772OVB5RDYEFEVTBSLDBALSKBE \
  | 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: fff4ea87b11e0852566192c6102e4a090170b48f050598882d60f4b435977c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d08572c124c52e350a5ffb694e1deff0fd84c88292d2179c4f88557f9063823",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-13T14:34:42Z",
    "title_canon_sha256": "2da24e0edf7a848fc23f0d806a584e246eacacb1ff475b7c3da22384f73fd6bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05087",
    "kind": "arxiv",
    "version": 3
  }
}