Pith Number

pith:ZV53SQQX

pith:2015:ZV53SQQXWPHZJDU4MESV62YLNY

not attested not anchored not stored refs pending

Dynamics of Chebyshev polynomials on $\mathbb{Z}_{2}$

Lingmin Liao, Shilei Fan

arxiv:1511.03529 v2 · 2015-11-11 · 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{ZV53SQQXWPHZJDU4MESV62YLNY}

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	2026-05-18T01:23:37.748738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd7bb94217b3cf948e9c61255f6b0b6e28cff6be25777ae683ad0b2041a5604e

Aliases

arxiv: 1511.03529 · arxiv_version: 1511.03529v2 · doi: 10.48550/arxiv.1511.03529 · pith_short_12: ZV53SQQXWPHZ · pith_short_16: ZV53SQQXWPHZJDU4 · pith_short_8: ZV53SQQX

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/ZV53SQQXWPHZJDU4MESV62YLNY \
  | 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: cd7bb94217b3cf948e9c61255f6b0b6e28cff6be25777ae683ad0b2041a5604e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927bb12aaf47fadf06b816f9bc79f7215e4b67fc8e76605a6ff318b5564b1bba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-11T15:19:57Z",
    "title_canon_sha256": "392e6b464d099c9e779d568d5e313251a296cdcf25beb0978cb7c1646f0ac7c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03529",
    "kind": "arxiv",
    "version": 2
  }
}