Pith Number

pith:SLGYS3IO

pith:2017:SLGYS3IO4JS5XX4NORXKYYFG5X

not attested not anchored not stored refs pending

Existence Results by The Method of Upper and Lower Solutions for Volterra Integral Equation on Time Scales

Ahmed G. Ghallab, Alaa E. Hamza

arxiv:1701.02038 v1 · 2017-01-08 · 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{SLGYS3IO4JS5XX4NORXKYYFG5X}

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	2026-05-18T00:53:11.792557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92cd896d0ee265dbdf8d746eac60a6edfecfd962666bb5625695a90e4cce0833

Aliases

arxiv: 1701.02038 · arxiv_version: 1701.02038v1 · doi: 10.48550/arxiv.1701.02038 · pith_short_12: SLGYS3IO4JS5 · pith_short_16: SLGYS3IO4JS5XX4N · pith_short_8: SLGYS3IO

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/SLGYS3IO4JS5XX4NORXKYYFG5X \
  | 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: 92cd896d0ee265dbdf8d746eac60a6edfecfd962666bb5625695a90e4cce0833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba158ee1fa283a6ffb74b92b637b9eb6fddef14c85a08371311dfa8bd76073bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-08T23:47:05Z",
    "title_canon_sha256": "5d823cccce7898f0f35a18cb1bd4372c51bcf2f35afcce0fb739039facc1932b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02038",
    "kind": "arxiv",
    "version": 1
  }
}