Pith Number

pith:TKXTZKSI

pith:1996:TKXTZKSI2MLNMJQO7KGVEUEPFV

not attested not anchored not stored refs pending

Stationary Phase Integrals, Quantum Toda Lattices, Flag Manifolds and the Mirror Conjecture

Alexander Givental (UC Berkeley)

arxiv:alg-geom/9612001 v1 · 1996-12-02 · 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{TKXTZKSI2MLNMJQO7KGVEUEPFV}

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	2026-07-04T15:08:07.625326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aaf3caa48d316d6260efa8d52508f2d4f15b4cc4977e8556708229146d39164

Aliases

arxiv: alg-geom/9612001 · arxiv_version: alg-geom/9612001v1 · doi: 10.48550/arxiv.alg-geom/9612001 · pith_short_12: TKXTZKSI2MLN · pith_short_16: TKXTZKSI2MLNMJQO · pith_short_8: TKXTZKSI

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/TKXTZKSI2MLNMJQO7KGVEUEPFV \
  | 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: 9aaf3caa48d316d6260efa8d52508f2d4f15b4cc4977e8556708229146d39164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2aa498168a99c8d5fa84e89aa3804d99de6766c3627d5d8d5e1f209eb75bfad",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1996-12-02T01:34:32Z",
    "title_canon_sha256": "a5e7ac396d16ae3e0cda8858063ebc7d2228b13459925559ffd0df36d7a7665d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9612001",
    "kind": "arxiv",
    "version": 1
  }
}