Pith Number

pith:T4Y2CSGK

pith:2015:T4Y2CSGKN4JPMDCIKBEHCY5XQN

not attested not anchored not stored refs pending

Indestructible dynamics of torus maps

James Yorke, Suddhasattwa Das

arxiv:1512.03171 v2 · 2015-12-10 · 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{T4Y2CSGKN4JPMDCIKBEHCY5XQN}

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	2026-05-18T00:24:54.551096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f31a148ca6f12f60c4850487163b78372b3c460d5f522bf2226fa72cba938ac

Aliases

arxiv: 1512.03171 · arxiv_version: 1512.03171v2 · doi: 10.48550/arxiv.1512.03171 · pith_short_12: T4Y2CSGKN4JP · pith_short_16: T4Y2CSGKN4JPMDCI · pith_short_8: T4Y2CSGK

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/T4Y2CSGKN4JPMDCIKBEHCY5XQN \
  | 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: 9f31a148ca6f12f60c4850487163b78372b3c460d5f522bf2226fa72cba938ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f80df28e17c7aca67e0ec50f3a59f3ca3434ef93fbe9c7dde9ca687f630938",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-10T08:36:07Z",
    "title_canon_sha256": "9402dc34ab5f0a966ebd3242cd2ab2b1e16b08afc69b3d5df471af405e5ec354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03171",
    "kind": "arxiv",
    "version": 2
  }
}