Pith Number

pith:XQ4FN3WC

pith:2010:XQ4FN3WCEBZGTPTOSHKRGRBFXC

not attested not anchored not stored refs pending

On the Homology of Completion and Torsion

Amnon Yekutieli, Liran Shaul, Marco Porta

arxiv:1010.4386 v5 · 2010-10-21 · math.AC · 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{XQ4FN3WCEBZGTPTOSHKRGRBFXC}

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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

3 papers in Pith

Torsion modules and differential operators in infinitely many variables

Homomorphisms of topological rings and change-of-scalar functors

Contraherent cosheaves of contramodules on Noetherian formal schemes

Receipt and verification

First computed	2026-05-18T03:43:07.769224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc3856eec2207269be6e91d5134425b89ccbc94d0a61ffd36587753fb2fb9c2f

Aliases

arxiv: 1010.4386 · arxiv_version: 1010.4386v5 · doi: 10.48550/arxiv.1010.4386 · pith_short_12: XQ4FN3WCEBZG · pith_short_16: XQ4FN3WCEBZGTPTO · pith_short_8: XQ4FN3WC

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/XQ4FN3WCEBZGTPTOSHKRGRBFXC \
  | 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: bc3856eec2207269be6e91d5134425b89ccbc94d0a61ffd36587753fb2fb9c2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e816e5d79c898ade482a3e2b74543fd2ccde35a50c836ac0b50f4d3f014eabc",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-10-21T07:59:29Z",
    "title_canon_sha256": "37a3251140f7c4ec1910a4b28caa731cf0ec05089dab42cacbd06872c71cf925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4386",
    "kind": "arxiv",
    "version": 5
  }
}