Pith Number

pith:GMIM6O57

pith:2015:GMIM6O57ELK7EBYP3N727BTIWH

not attested not anchored not stored refs pending

The Hyers-Ulam stability for nonlinear Volterra integral equations via a generalized Diaz-Margolis's fixed point theorem

Wei-Shih Du

arxiv:1503.07967 v1 · 2015-03-27 · 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{GMIM6O57ELK7EBYP3N727BTIWH}

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	2026-05-18T02:20:11.837958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3310cf3bbf22d5f2070fdb7faf8668b1f39848ffb07429372734672f744b7273

Aliases

arxiv: 1503.07967 · arxiv_version: 1503.07967v1 · doi: 10.48550/arxiv.1503.07967 · pith_short_12: GMIM6O57ELK7 · pith_short_16: GMIM6O57ELK7EBYP · pith_short_8: GMIM6O57

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/GMIM6O57ELK7EBYP3N727BTIWH \
  | 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: 3310cf3bbf22d5f2070fdb7faf8668b1f39848ffb07429372734672f744b7273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e55be1ef39617da613a8a49630487c2677878c84d00c43cafbdd378dc27a5d19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-27T05:49:32Z",
    "title_canon_sha256": "7fd2b9b0896e54aec22e9d0440266cde8897e12073ea36d0f5071e5db2a8f422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07967",
    "kind": "arxiv",
    "version": 1
  }
}