Pith Number

pith:3KDOX2AV

pith:1998:3KDOX2AVKKZ567O7XKAWNYMCU2

not attested not anchored not stored refs pending

Mirror Symmetry and Toric Degenerations of Partial Flag Manifolds

Bumsig Kim, Duco van Straten, Ionut Ciocan-Fontanine, Victor V. Batyrev

arxiv:math/9803108 v1 · 1998-03-24 · 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{3KDOX2AVKKZ567O7XKAWNYMCU2}

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	2026-05-18T01:05:34.233110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da86ebe81552b3df7ddfba8166e182a6a135412f896d955b8be3fe6c0220a1de

Aliases

arxiv: math/9803108 · arxiv_version: math/9803108v1 · doi: 10.48550/arxiv.math/9803108 · pith_short_12: 3KDOX2AVKKZ5 · pith_short_16: 3KDOX2AVKKZ567O7 · pith_short_8: 3KDOX2AV

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/3KDOX2AVKKZ567O7XKAWNYMCU2 \
  | 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: da86ebe81552b3df7ddfba8166e182a6a135412f896d955b8be3fe6c0220a1de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb798d001a2d415dd0cc409d6b431011cdb76f16e1daf58bc797379fc4ff168",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-03-24T00:19:18Z",
    "title_canon_sha256": "7b893d685f0a107860c239ecef371fcea6646e49fd883ca7170932aadf601abd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9803108",
    "kind": "arxiv",
    "version": 1
  }
}