Pith Number

pith:4SOR4M3C

pith:2015:4SOR4M3CKDZUVOBIP4HLJLTADA

not attested not anchored not stored refs pending

Dynamics of $\displaystyle{z_{n+1}=\frac{\alpha + \alpha z_{n}+\beta z_{n-1}}{1+z_{n}}}$ in Complex Plane

Sk. Sarif Hassan

arxiv:1511.04363 v1 · 2015-11-12 · 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{4SOR4M3CKDZUVOBIP4HLJLTADA}

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	2026-05-18T01:26:59.081096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e49d1e336250f34ab8287f0eb4ae60183ddeadad81c9b0f83839d52085ddbde5

Aliases

arxiv: 1511.04363 · arxiv_version: 1511.04363v1 · doi: 10.48550/arxiv.1511.04363 · pith_short_12: 4SOR4M3CKDZU · pith_short_16: 4SOR4M3CKDZUVOBI · pith_short_8: 4SOR4M3C

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/4SOR4M3CKDZUVOBIP4HLJLTADA \
  | 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: e49d1e336250f34ab8287f0eb4ae60183ddeadad81c9b0f83839d52085ddbde5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b16587304329c2c4bf4506302ce9496a69fc47c9d50fd26efef0673cb857307",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-12T06:59:08Z",
    "title_canon_sha256": "1894e26828e41c78ba46eb71b07bba283d6f5c6b682c4f01fbf777658b6a5f78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04363",
    "kind": "arxiv",
    "version": 1
  }
}