Pith Number

pith:P7PNQBYW

pith:2017:P7PNQBYW3MGSDS2IH5NT6HZKTU

not attested not anchored not stored refs pending

Stability of a Volterra Integral Equation on Time Scales

Ahmed G. Ghallab, Alaa E. Hamza

arxiv:1701.01217 v1 · 2017-01-05 · 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{P7PNQBYW3MGSDS2IH5NT6HZKTU}

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	2026-05-18T00:53:20.143918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fded80716db0d21cb483f5b3f1f2a9d123c6c655f5e2af83ea7fc34ec544581

Aliases

arxiv: 1701.01217 · arxiv_version: 1701.01217v1 · doi: 10.48550/arxiv.1701.01217 · pith_short_12: P7PNQBYW3MGS · pith_short_16: P7PNQBYW3MGSDS2I · pith_short_8: P7PNQBYW

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/P7PNQBYW3MGSDS2IH5NT6HZKTU \
  | 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: 7fded80716db0d21cb483f5b3f1f2a9d123c6c655f5e2af83ea7fc34ec544581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba5f72c83a4306c82b7ede21fd8b45ad459ac440775dd9a631d1cd57fa1d28a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-05T05:57:49Z",
    "title_canon_sha256": "7fd80806142bc92fcfb5dfa6090775a1bf3eeff07ca3f7cfd658174ab30b7d48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01217",
    "kind": "arxiv",
    "version": 1
  }
}