Pith Number

pith:5T22SYZS

pith:2018:5T22SYZSUHY6BBFAYC7AXSUZKG

not attested not anchored not stored refs pending

A bimodule structure for the bounded cohomology of commutative local rings

Luigi Ferraro

arxiv:1811.08938 v1 · 2018-11-21 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5T22SYZSUHY6BBFAYC7AXSUZKG}

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	2026-05-18T00:00:07.550350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf5a96332a1f1e084a0c0be0bca9951b54c2c75fe55011db3d513c61ed17b14

Aliases

arxiv: 1811.08938 · arxiv_version: 1811.08938v1 · doi: 10.48550/arxiv.1811.08938 · pith_short_12: 5T22SYZSUHY6 · pith_short_16: 5T22SYZSUHY6BBFA · pith_short_8: 5T22SYZS

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/5T22SYZSUHY6BBFAYC7AXSUZKG \
  | 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: ecf5a96332a1f1e084a0c0be0bca9951b54c2c75fe55011db3d513c61ed17b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61d11072c9f2b1b6190a3d4531c59fe700914243da2ebcad4accd10bba992d23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-11-21T20:33:14Z",
    "title_canon_sha256": "3df6b3e98cd7691593e755b968e9c89710c8c7be6772e9ceca6ae96a0774d7a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08938",
    "kind": "arxiv",
    "version": 1
  }
}