Pith Number

pith:7QPQZD5L

pith:2012:7QPQZD5LFOTWOQTGNZ4WOKBIEO

not attested not anchored not stored refs pending

Universal Fractional Map and Cascade of Bifurcations Type Attractors

Mark Edelman

arxiv:1209.5713 v2 · 2012-09-25 · nlin.CD · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QPQZD5LFOTWOQTGNZ4WOKBIEO}

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	2026-05-18T02:51:42.553059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc1f0c8fab2ba76742666e7967282823bc727bbda7e225960120f56f4a1f37d0

Aliases

arxiv: 1209.5713 · arxiv_version: 1209.5713v2 · doi: 10.48550/arxiv.1209.5713 · pith_short_12: 7QPQZD5LFOTW · pith_short_16: 7QPQZD5LFOTWOQTG · pith_short_8: 7QPQZD5L

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/7QPQZD5LFOTWOQTGNZ4WOKBIEO \
  | 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: fc1f0c8fab2ba76742666e7967282823bc727bbda7e225960120f56f4a1f37d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dbe361c52c5edcc6656c33b03946159e1f1eb7e0abc2e7ce301d235f5f1ec5b",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-09-25T18:34:20Z",
    "title_canon_sha256": "cfc875bcea917779103fb468bb45c654ec307e8edfbb47232b6834d36caec5eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5713",
    "kind": "arxiv",
    "version": 2
  }
}