Pith Number

pith:FU2C7N45

pith:2007:FU2C7N45WJZ32FEULLCPX7VDSW

not attested not anchored not stored refs pending

Homological algebra of semimodules and semicontramodules: Semi-infinite homological algebra of associative algebraic structures

Leonid Positselski

arxiv:0708.3398 v13 · 2007-08-27 · math.CT · math.RA · 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{FU2C7N45WJZ32FEULLCPX7VDSW}

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.

Cited by

2 papers in Pith

Homomorphisms of topological rings and change-of-scalar functors

Contraherent cosheaves of contramodules on Noetherian formal schemes

Receipt and verification

First computed	2026-05-18T02:52:14.633586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d342fb79db273bd14945ac4fbfea39592cdafb4a74f82bd804abaed5f72711a

Aliases

arxiv: 0708.3398 · arxiv_version: 0708.3398v13 · doi: 10.48550/arxiv.0708.3398 · pith_short_12: FU2C7N45WJZ3 · pith_short_16: FU2C7N45WJZ32FEU · pith_short_8: FU2C7N45

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/FU2C7N45WJZ32FEULLCPX7VDSW \
  | 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: 2d342fb79db273bd14945ac4fbfea39592cdafb4a74f82bd804abaed5f72711a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64cca5e8cc75905946361521187942a736b868564c802c786cd6367544a0f3b",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2007-08-27T18:28:50Z",
    "title_canon_sha256": "4e41eaf20f3bc0c14f9fa982cb5464be11344be09fc2b55c4457a906960f6ac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3398",
    "kind": "arxiv",
    "version": 13
  }
}