Pith Number

pith:4S7SWDYP

pith:2015:4S7SWDYP7ZISC4JEQEPJI26R7P

not attested not anchored not stored refs pending

The improved (G'/G)- expansion method is equivalent to the tanh method

M. S. Abdel Latif

arxiv:1506.06025 v1 · 2015-04-23 · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4S7SWDYP7ZISC4JEQEPJI26R7P}

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	2026-05-18T01:42:46.462405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4bf2b0f0ffe51217124811e946bd1fbf4e27af69859278d686a82ce9d1c5af2

Aliases

arxiv: 1506.06025 · arxiv_version: 1506.06025v1 · doi: 10.48550/arxiv.1506.06025 · pith_short_12: 4S7SWDYP7ZIS · pith_short_16: 4S7SWDYP7ZISC4JE · pith_short_8: 4S7SWDYP

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/4S7SWDYP7ZISC4JEQEPJI26R7P \
  | 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: e4bf2b0f0ffe51217124811e946bd1fbf4e27af69859278d686a82ce9d1c5af2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da3fdb83091d5ad2fab08f00df40ac2c877e54ed0d518cb2d2bc9a7a22dde4ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2015-04-23T17:44:34Z",
    "title_canon_sha256": "04446a38f091afe1a1f4a2fd5a7a581a15039917264ea069088f5d3cb24ea5b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06025",
    "kind": "arxiv",
    "version": 1
  }
}