Pith Number

pith:BW7X7XNE

pith:2008:BW7X7XNEQGO6GZV4PSH4UP326E

not attested not anchored not stored refs pending

Bifurcation Phenomena in Two-Dimensional Piecewise Smooth Discontinuous Maps

Biswambhar Rakshit, Manjul Apratim, Parag Jain, Soumitro Banerjee

arxiv:0809.3121 v1 · 2008-09-18 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BW7X7XNEQGO6GZV4PSH4UP326E}

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	2026-05-18T04:11:08.661570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dbf7fdda4819de366bc7c8fca3f7af10e58fce2c37272edf0d10d76185a4ad8

Aliases

arxiv: 0809.3121 · arxiv_version: 0809.3121v1 · doi: 10.48550/arxiv.0809.3121 · pith_short_12: BW7X7XNEQGO6 · pith_short_16: BW7X7XNEQGO6GZV4 · pith_short_8: BW7X7XNE

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/BW7X7XNEQGO6GZV4PSH4UP326E \
  | 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: 0dbf7fdda4819de366bc7c8fca3f7af10e58fce2c37272edf0d10d76185a4ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "344a6cf6f3667903f4bab532653893b1fe64a7f32ec852af0d03a3e09dc0a007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2008-09-18T09:58:40Z",
    "title_canon_sha256": "e33304d57385cb3b97a38cdb1902f2054bdb12d8fdd54bab0e75b93a7d226262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3121",
    "kind": "arxiv",
    "version": 1
  }
}