Pith Number

pith:GVZ6JS3F

pith:2008:GVZ6JS3FYIFMJSRPCZEZTPKLPX

not attested not anchored not stored refs pending

The Mukai pairing and integral transforms in Hochschild homology

Ajay C. Ramadoss

arxiv:0805.1760 v2 · 2008-05-12 · math.AG · math-ph · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVZ6JS3FYIFMJSRPCZEZTPKLPX}

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	2026-05-18T04:40:20.793650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3573e4cb65c20ac4ca2f164999bd4b7de42c4c1f0c672fc3f2d0af21aebc4688

Aliases

arxiv: 0805.1760 · arxiv_version: 0805.1760v2 · doi: 10.48550/arxiv.0805.1760 · pith_short_12: GVZ6JS3FYIFM · pith_short_16: GVZ6JS3FYIFMJSRP · pith_short_8: GVZ6JS3F

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/GVZ6JS3FYIFMJSRPCZEZTPKLPX \
  | 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: 3573e4cb65c20ac4ca2f164999bd4b7de42c4c1f0c672fc3f2d0af21aebc4688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b7341ef730204c5fe893313cfb8acee0a98749df0498650d2c661ece9d38a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-05-12T23:20:01Z",
    "title_canon_sha256": "214bd1bab5ffd7895b34a5e95c9bbce41945f6dc336ed212cce168ea5a950cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1760",
    "kind": "arxiv",
    "version": 2
  }
}