Pith Number

pith:42YYESOV

pith:2015:42YYESOVGVP2BWIAKNEX5X5GHA

not attested not anchored not stored refs pending

Complex Dynamics of $\displaystyle{z_{n+1}=\frac{\alpha + \beta z_{n}+ \gamma z_{n-1}}{A + B z_n + C z_{n-1}}}$

Sk. Sarif Hassan

arxiv:1509.00850 v1 · 2015-08-31 · 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{42YYESOVGVP2BWIAKNEX5X5GHA}

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	2026-05-18T01:34:04.962415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b18249d5355fa0d90053497edfa638131a89c38b839e8af2e1fa1e7c559843

Aliases

arxiv: 1509.00850 · arxiv_version: 1509.00850v1 · doi: 10.48550/arxiv.1509.00850 · pith_short_12: 42YYESOVGVP2 · pith_short_16: 42YYESOVGVP2BWIA · pith_short_8: 42YYESOV

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/42YYESOVGVP2BWIAKNEX5X5GHA \
  | 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: e6b18249d5355fa0d90053497edfa638131a89c38b839e8af2e1fa1e7c559843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb27ed79cd56fb463c6518dcd9a9f68191dd5f064cc211eec5a044106ce908c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-31T07:19:51Z",
    "title_canon_sha256": "4d410a3ca837fdf0cdf67a138dff5b8f9ed66b36275a1d93feb763eb91954dcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00850",
    "kind": "arxiv",
    "version": 1
  }
}