Pith Number

pith:QSFLNWA4

pith:2003:QSFLNWA4S2D4ZQU2HINOIOX4NS

not attested not anchored not stored refs pending

The Mukai pairing, I: the Hochschild structure

Andrei Caldararu

arxiv:math/0308079 v2 · 2003-08-08 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSFLNWA4S2D4ZQU2HINOIOX4NS}

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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

Functoriality of logarithmic Hochschild homology of log smooth pairs

Receipt and verification

First computed	2026-05-18T01:05:28.726468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

848ab6d81c9687ccc29a3a1ae43afc6cad5b94fa5dabe7cd62220510863957f0

Aliases

arxiv: math/0308079 · arxiv_version: math/0308079v2 · doi: 10.48550/arxiv.math/0308079 · pith_short_12: QSFLNWA4S2D4 · pith_short_16: QSFLNWA4S2D4ZQU2 · pith_short_8: QSFLNWA4

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/QSFLNWA4S2D4ZQU2HINOIOX4NS \
  | 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: 848ab6d81c9687ccc29a3a1ae43afc6cad5b94fa5dabe7cd62220510863957f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740d07443a248fda7698f34f50ab399449d4b9b006552ce02b110b680da10d35",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-08-08T17:18:32Z",
    "title_canon_sha256": "4bc57132b4e28a15cb70be57d5b5ee8ccdaadd6adbadf8d7e242802915cadfd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0308079",
    "kind": "arxiv",
    "version": 2
  }
}