Pith Number

pith:ISPNSVVW

pith:2011:ISPNSVVWJP34BSJG7NNBBDH24X

not attested not anchored not stored refs pending

Coherent analogues of matrix factorizations and relative singularity categories

Alexander I. Efimov, Leonid Positselski

arxiv:1102.0261 v11 · 2011-02-01 · math.CT · 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{ISPNSVVWJP34BSJG7NNBBDH24X}

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	2026-05-18T01:37:22.003620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

449ed956b64bf7c0c926fb5a108cfae5c9cbca5fb28175fa84d71f1455553916

Aliases

arxiv: 1102.0261 · arxiv_version: 1102.0261v11 · doi: 10.48550/arxiv.1102.0261 · pith_short_12: ISPNSVVWJP34 · pith_short_16: ISPNSVVWJP34BSJG · pith_short_8: ISPNSVVW

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/ISPNSVVWJP34BSJG7NNBBDH24X \
  | 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: 449ed956b64bf7c0c926fb5a108cfae5c9cbca5fb28175fa84d71f1455553916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cccafe882339bc9b6363f56febe16377e29bdb1b24b7641cef8397eecf0c5efd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-02-01T20:14:53Z",
    "title_canon_sha256": "229d8cd0fb1074651c7a4f5db02a821b63635f7cbf2d9a171235dd05201c8d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0261",
    "kind": "arxiv",
    "version": 11
  }
}