Pith Number

pith:LZM35R7E

pith:2017:LZM35R7EEICVYMXHHZD5API6PI

not attested not anchored not stored refs pending

Effective descent morphisms for Banach modules

Bachuki Mesablishvili

arxiv:1701.05330 v1 · 2017-01-19 · math.FA · 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{LZM35R7EEICVYMXHHZD5API6PI}

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	2026-05-18T00:52:30.218165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e59bec7e422055c32e73e47d03d1e7a0dcdda619a18ff9948fec748e7c37586

Aliases

arxiv: 1701.05330 · arxiv_version: 1701.05330v1 · doi: 10.48550/arxiv.1701.05330 · pith_short_12: LZM35R7EEICV · pith_short_16: LZM35R7EEICVYMXH · pith_short_8: LZM35R7E

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/LZM35R7EEICVYMXHHZD5API6PI \
  | 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: 5e59bec7e422055c32e73e47d03d1e7a0dcdda619a18ff9948fec748e7c37586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b89d0486a40ccf9beec86afa7c9d42864cf45dd609df485318c20a8a7fec2d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-19T08:37:05Z",
    "title_canon_sha256": "92f0a88c6bdaf4ea3f8650ad8e179ebea6f20761f856c5445641aa79fe17256e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05330",
    "kind": "arxiv",
    "version": 1
  }
}