Pith Number

pith:CPYK3C6G

pith:2016:CPYK3C6GPZPOI2WJZP5CZMRPSI

not attested not anchored not stored refs pending

Well-Posedness of some nonlinear Volterra-Fredholm integral and integro-dynamic equations on time scales

Ahmed G. Ghallab, Alaa E.Hamza

arxiv:1608.04827 v1 · 2016-08-17 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPYK3C6GPZPOI2WJZP5CZMRPSI}

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	2026-05-18T01:08:33.432770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f0ad8bc67e5ee46ac9cbfa2cb22f92206bf86234b17a432c21fd13f5f521c1

Aliases

arxiv: 1608.04827 · arxiv_version: 1608.04827v1 · doi: 10.48550/arxiv.1608.04827 · pith_short_12: CPYK3C6GPZPO · pith_short_16: CPYK3C6GPZPOI2WJ · pith_short_8: CPYK3C6G

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/CPYK3C6GPZPOI2WJZP5CZMRPSI \
  | 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: 13f0ad8bc67e5ee46ac9cbfa2cb22f92206bf86234b17a432c21fd13f5f521c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d68f98f0aa644b8327264302ac308eadafeb04b981a839b1ce643e6d9d6f2d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-17T01:23:39Z",
    "title_canon_sha256": "12313ad22828333dd20d99f19fc3c0d46c8c8ce3e31d2d0f127930d0ef572761"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04827",
    "kind": "arxiv",
    "version": 1
  }
}