Pith Number

pith:H4BBFP3G

pith:2016:H4BBFP3G7ZF7SKCUPI2AG5YNAV

not attested not anchored not stored refs pending

Symmetry, reductions and exact solutions of the difference equation $u_{n+2}=au_n/(1+bu_nu_{n+1})$

Mensah Folly-Gbetoula

arxiv:1608.01878 v1 · 2016-08-05 · 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{H4BBFP3G7ZF7SKCUPI2AG5YNAV}

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	2026-05-18T01:09:44.364847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0212bf66fe4bf928547a3403770d055396fd1336774882c6cd128960836a3e

Aliases

arxiv: 1608.01878 · arxiv_version: 1608.01878v1 · doi: 10.48550/arxiv.1608.01878 · pith_short_12: H4BBFP3G7ZF7 · pith_short_16: H4BBFP3G7ZF7SKCU · pith_short_8: H4BBFP3G

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/H4BBFP3G7ZF7SKCUPI2AG5YNAV \
  | 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: 3f0212bf66fe4bf928547a3403770d055396fd1336774882c6cd128960836a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "660877c655c04523c5af0d0e0fce89e20e918cce8825435ace05540973377d9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2016-08-05T13:27:30Z",
    "title_canon_sha256": "80ce9ec948a89951cb716ca78d7bf259378c689b52d563690d92883123d0fa21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01878",
    "kind": "arxiv",
    "version": 1
  }
}