Pith Number

pith:Z5TJQ64G

pith:2005:Z5TJQ64GUEQWCACBU773ZBICM5

not attested not anchored not stored refs pending

Finite difference quantum Toda lattice via equivariant K-theory

Alexander Braverman, Michael Finkelberg

arxiv:math/0503456 v5 · 2005-03-22 · math.AG · hep-th · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5TJQ64GUEQWCACBU773ZBICM5}

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	2026-05-18T02:19:17.239448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf66987b86a121610041a7ffbc8502674b76b6860e17423c7feead03b005b2b2

Aliases

arxiv: math/0503456 · arxiv_version: math/0503456v5 · doi: 10.48550/arxiv.math/0503456 · pith_short_12: Z5TJQ64GUEQW · pith_short_16: Z5TJQ64GUEQWCACB · pith_short_8: Z5TJQ64G

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/Z5TJQ64GUEQWCACBU773ZBICM5 \
  | 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: cf66987b86a121610041a7ffbc8502674b76b6860e17423c7feead03b005b2b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694278d26de9d9c129506caa2fd5fac515ac1e835f5b910f1aac57c009a66d27",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2005-03-22T17:49:28Z",
    "title_canon_sha256": "d3bb0568dc994187b0e87bc43f2808149cbcc15d3639367416a165cb45146197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503456",
    "kind": "arxiv",
    "version": 5
  }
}