Pith Number

pith:VNESBHVE

pith:1997:VNESBHVEMTS4TRRDAL6YTICO4B

not attested not anchored not stored refs pending

On the cone of divisors of Calabi-Yau fiber spaces

Yujiro Kawamata

arxiv:alg-geom/9701006 v1 · 1997-01-13 · alg-geom · 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{VNESBHVEMTS4TRRDAL6YTICO4B}

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

An elliptic approach to Reid's fantasy

Receipt and verification

First computed	2026-07-04T15:08:07.807021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab49209ea464e5c9c62302fd89a04ee06a6640b513d59eb43798a03606fd7056

Aliases

arxiv: alg-geom/9701006 · arxiv_version: alg-geom/9701006v1 · doi: 10.48550/arxiv.alg-geom/9701006 · pith_short_12: VNESBHVEMTS4 · pith_short_16: VNESBHVEMTS4TRRD · pith_short_8: VNESBHVE

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/VNESBHVEMTS4TRRDAL6YTICO4B \
  | 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: ab49209ea464e5c9c62302fd89a04ee06a6640b513d59eb43798a03606fd7056

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27efa36e32709c13444a3535eee9f9a06cd60fdf6fe4ab534f264cb13ce07685",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-01-13T03:48:58Z",
    "title_canon_sha256": "da603854a6675f6bb71bf2385ba39bad19c04fa167ab87d6d8dc957e8e168c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9701006",
    "kind": "arxiv",
    "version": 1
  }
}