Pith Number

pith:52XIXQA5

pith:2011:52XIXQA5KPOVKBDXQJBGETVAM4

not attested not anchored not stored refs pending

Integral Value Transformations: A Class of Affine Discrete Dynamical Systems and an Application

A. Ghosh, B. K. Nayak, J. Banerjee, P. Pal Choudhury, Sk. S. Hassan

arxiv:1110.0724 v3 · 2011-09-21 · cs.DM · nlin.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52XIXQA5KPOVKBDXQJBGETVAM4}

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	2026-05-18T04:11:08.144875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeae8bc01d53dd5504778242624ea0673d74924fa996eac9aaf4d1031bebd23b

Aliases

arxiv: 1110.0724 · arxiv_version: 1110.0724v3 · doi: 10.48550/arxiv.1110.0724 · pith_short_12: 52XIXQA5KPOV · pith_short_16: 52XIXQA5KPOVKBDX · pith_short_8: 52XIXQA5

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/52XIXQA5KPOVKBDXQJBGETVAM4 \
  | 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: eeae8bc01d53dd5504778242624ea0673d74924fa996eac9aaf4d1031bebd23b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a980b7f25d761a092a56a58f5e272c5a73dcea09e0a2804172e0519e3857731",
    "cross_cats_sorted": [
      "nlin.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-09-21T05:48:27Z",
    "title_canon_sha256": "d10920f1647d38f7b1dbcf1bb1a7f5e4aebfc6ee3db1db11e0e9065bc311d4d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0724",
    "kind": "arxiv",
    "version": 3
  }
}