Pith Number

pith:LGD3FSH4

pith:2011:LGD3FSH4I2SD2FGFQ5FJMKZW2O

not attested not anchored not stored refs pending

Thom-Sebastiani & Duality for Matrix Factorizations

Anatoly Preygel

arxiv:1101.5834 v1 · 2011-01-30 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGD3FSH4I2SD2FGFQ5FJMKZW2O}

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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

What is the Geometric Langlands Correspondence about?

Receipt and verification

First computed	2026-05-18T04:30:24.706166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5987b2c8fc46a43d14c5874a962b36d39d86dd4d387cef82733c6122f6204d13

Aliases

arxiv: 1101.5834 · arxiv_version: 1101.5834v1 · doi: 10.48550/arxiv.1101.5834 · pith_short_12: LGD3FSH4I2SD · pith_short_16: LGD3FSH4I2SD2FGF · pith_short_8: LGD3FSH4

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/LGD3FSH4I2SD2FGFQ5FJMKZW2O \
  | 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: 5987b2c8fc46a43d14c5874a962b36d39d86dd4d387cef82733c6122f6204d13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eae095080d14fc42a931164cc26d27b9efd31eb7fd5edd38ff3a35f076a641d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-30T23:34:40Z",
    "title_canon_sha256": "90d5acfb4bc27f7626c5077c4aee975e21ea9ebf00e15b78a9f4d47b5b4b0c4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5834",
    "kind": "arxiv",
    "version": 1
  }
}