Pith Number

pith:2CHWCMRX

pith:2012:2CHWCMRXCFYEO7ZGPXNJM56HYR

not attested not anchored not stored refs pending

Diffeomorphisms with Banach space domains

Gaetano Zampieri

arxiv:1204.4264 v1 · 2012-04-19 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2CHWCMRXCFYEO7ZGPXNJM56HYR}

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	2026-05-18T03:57:27.994307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d08f6132371170477f267dda9677c7c4586c8ec7c6f3d1a91440be452be78cb9

Aliases

arxiv: 1204.4264 · arxiv_version: 1204.4264v1 · doi: 10.48550/arxiv.1204.4264 · pith_short_12: 2CHWCMRXCFYE · pith_short_16: 2CHWCMRXCFYEO7ZG · pith_short_8: 2CHWCMRX

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/2CHWCMRXCFYEO7ZGPXNJM56HYR \
  | 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: d08f6132371170477f267dda9677c7c4586c8ec7c6f3d1a91440be452be78cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbee4d4c9d71bda21ffc99d9042da4c32bb553e980b13a1088b4aa92f1d75e32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-19T07:10:53Z",
    "title_canon_sha256": "adb87aa1a16847eab4332eaa3f2635d946fd8a77ad14a83ac7f4c3538fb25c4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4264",
    "kind": "arxiv",
    "version": 1
  }
}