Pith Number

pith:WRLGPK5F

pith:2010:WRLGPK5FPAF2NFTHBAEG7E4JYB

not attested not anchored not stored refs pending

An Inverse Function Theorem in Frechet Spaces

Ivar Ekeland

arxiv:1011.1288 v1 · 2010-11-04 · 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{WRLGPK5FPAF2NFTHBAEG7E4JYB}

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	2026-05-18T02:04:52.672947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b45667aba5780ba6966708086f9389c070fa5c4be34814c4fdd5258c19a66bd1

Aliases

arxiv: 1011.1288 · arxiv_version: 1011.1288v1 · doi: 10.48550/arxiv.1011.1288 · pith_short_12: WRLGPK5FPAF2 · pith_short_16: WRLGPK5FPAF2NFTH · pith_short_8: WRLGPK5F

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/WRLGPK5FPAF2NFTHBAEG7E4JYB \
  | 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: b45667aba5780ba6966708086f9389c070fa5c4be34814c4fdd5258c19a66bd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b29f9bd024bd537bccd9d6aa1e782b003f2836723be17c7206c6f8c20906ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-11-04T22:38:36Z",
    "title_canon_sha256": "7f91b99944f0354fd46142131b48680b47c831258027a85f78329b747a48630e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1288",
    "kind": "arxiv",
    "version": 1
  }
}