Pith Number

pith:GCTTIWAZ

pith:2012:GCTTIWAZ7ZG2NRHBKI6SONSYH5

not attested not anchored not stored refs pending

The cohomological equations in nonsmooth categories

Yu. I. Lyubich

arxiv:1211.0229 v1 · 2012-11-01 · math.FA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCTTIWAZ7ZG2NRHBKI6SONSYH5}

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

1 paper in Pith

New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples

Receipt and verification

First computed	2026-05-18T03:41:42.684648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a7345819fe4da6c4e1523d2736583f7cc48e03c6df96b9e48c1ba566f4ad44

Aliases

arxiv: 1211.0229 · arxiv_version: 1211.0229v1 · doi: 10.48550/arxiv.1211.0229 · pith_short_12: GCTTIWAZ7ZG2 · pith_short_16: GCTTIWAZ7ZG2NRHB · pith_short_8: GCTTIWAZ

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/GCTTIWAZ7ZG2NRHBKI6SONSYH5 \
  | 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: 30a7345819fe4da6c4e1523d2736583f7cc48e03c6df96b9e48c1ba566f4ad44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a19694220b1401ce2be153d9a247a145e25a4ba23171182f5665fe07388700",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-01T17:17:47Z",
    "title_canon_sha256": "715e88aa9d2988afa0e3cd5c9db0cea0ef9edf78937a9ec5693b3c3337534d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0229",
    "kind": "arxiv",
    "version": 1
  }
}