Pith Number

pith:2APYLAWD

pith:2012:2APYLAWDHEECCMSDT7ZGXKJ7YD

not attested not anchored not stored refs pending

Dynamical Systems Method for solving nonlinear operator equations in Banach spaces

A.G.Ramm

arxiv:1206.5518 v1 · 2012-06-24 · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2APYLAWDHEECCMSDT7ZGXKJ7YD}

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	2026-05-18T03:52:39.847911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d01f8582c339082132439ff26ba93fc0fb278c027c8287def915e40da6431e86

Aliases

arxiv: 1206.5518 · arxiv_version: 1206.5518v1 · doi: 10.48550/arxiv.1206.5518 · pith_short_12: 2APYLAWDHEEC · pith_short_16: 2APYLAWDHEECCMSD · pith_short_8: 2APYLAWD

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/2APYLAWDHEECCMSDT7ZGXKJ7YD \
  | 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: d01f8582c339082132439ff26ba93fc0fb278c027c8287def915e40da6431e86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91e9217a587c8dd003abb4af69e5c3a467a596e1622878b72d62ff97b9ddcb3b",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-24T16:21:39Z",
    "title_canon_sha256": "c827d34473ee2010f49685dfd253e38463076ced5183cc68e2a1564292766bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5518",
    "kind": "arxiv",
    "version": 1
  }
}