Pith Number

pith:5YAKU6A7

pith:2010:5YAKU6A7ZW3PQP4DJPF2DIQYFZ

not attested not anchored not stored refs pending

On the Asymptotic Behavior of Volterra Difference Equations

Nguyen Van Minh

arxiv:1010.5454 v2 · 2010-10-26 · math.DS · 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{5YAKU6A7ZW3PQP4DJPF2DIQYFZ}

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	2026-05-18T04:01:26.499194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee00aa781fcdb6f83f834bcba1a2182e47433a5d31b0a577598d6e96394ab663

Aliases

arxiv: 1010.5454 · arxiv_version: 1010.5454v2 · doi: 10.48550/arxiv.1010.5454 · pith_short_12: 5YAKU6A7ZW3P · pith_short_16: 5YAKU6A7ZW3PQP4D · pith_short_8: 5YAKU6A7

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/5YAKU6A7ZW3PQP4DJPF2DIQYFZ \
  | 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: ee00aa781fcdb6f83f834bcba1a2182e47433a5d31b0a577598d6e96394ab663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2d0c56153785e13031f0ad3079b1c124ae4ea6adb0e621d33d626ef2fd80d0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-26T16:44:20Z",
    "title_canon_sha256": "48522f3e40f150b00a4d94a763efd39fdf3be243be06b58b6047024d17835c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5454",
    "kind": "arxiv",
    "version": 2
  }
}