Pith Number

pith:CN7DLQFX

pith:2016:CN7DLQFXKXBGYKK7BPTFNF2U4M

not attested not anchored not stored refs pending

Global existence and estimates of the solutions to nonlinear integral equations

A.G.Ramm

arxiv:1611.09404 v1 · 2016-11-28 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CN7DLQFXKXBGYKK7BPTFNF2U4M}

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	2026-05-18T00:56:00.061502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

137e35c0b755c26c295f0be6569754e30941f1c051a3bebff2bc62795af6f0a8

Aliases

arxiv: 1611.09404 · arxiv_version: 1611.09404v1 · doi: 10.48550/arxiv.1611.09404 · pith_short_12: CN7DLQFXKXBG · pith_short_16: CN7DLQFXKXBGYKK7 · pith_short_8: CN7DLQFX

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/CN7DLQFXKXBGYKK7BPTFNF2U4M \
  | 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: 137e35c0b755c26c295f0be6569754e30941f1c051a3bebff2bc62795af6f0a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f966068befbdf38dc056ba959547dba8abf7b5d318a09b40d24eab526cc773f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-28T21:57:48Z",
    "title_canon_sha256": "f632fc5e2a7d21bcb4a6b77b5a36fa4e97cb9527cdfd05c255288b95bef8754c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09404",
    "kind": "arxiv",
    "version": 1
  }
}