Pith Number

pith:PGIH6ASB

pith:2013:PGIH6ASBFM7YRBYWYU3TI3UJIW

not attested not anchored not stored refs pending

Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form

David J.W. Simpson

arxiv:1312.2651 v1 · 2013-12-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGIH6ASBFM7YRBYWYU3TI3UJIW}

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	2026-05-18T01:45:52.310614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79907f02412b3f888716c537346e8945870533b7f08170e3ccf8cbe5566f45b2

Aliases

arxiv: 1312.2651 · arxiv_version: 1312.2651v1 · doi: 10.48550/arxiv.1312.2651 · pith_short_12: PGIH6ASBFM7Y · pith_short_16: PGIH6ASBFM7YRBYW · pith_short_8: PGIH6ASB

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/PGIH6ASBFM7YRBYWYU3TI3UJIW \
  | 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: 79907f02412b3f888716c537346e8945870533b7f08170e3ccf8cbe5566f45b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed57bfa67aab85fb4ebed77d796c3e0407d62d0840d0bd12d1c893d4c807d8c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-10T03:17:51Z",
    "title_canon_sha256": "3e5f729f1cd67c00cc4acf9e78d8f346ddcbd3be6b6fb04f586f118ef9408028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2651",
    "kind": "arxiv",
    "version": 1
  }
}