Pith Number

pith:6BZE3HXD

pith:2015:6BZE3HXDBSGBS4HQLKCJB4JJCE

not attested not anchored not stored refs pending

Takens' embedding theorem with a continuous observable

Yonatan Gutman

arxiv:1510.05843 v2 · 2015-10-20 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BZE3HXDBSGBS4HQLKCJB4JJCE}

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	2026-05-18T01:14:58.800531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0724d9ee30c8c1970f05a8490f1291105b4ceec2c0abe35d59cb1cb2a1fda38

Aliases

arxiv: 1510.05843 · arxiv_version: 1510.05843v2 · doi: 10.48550/arxiv.1510.05843 · pith_short_12: 6BZE3HXDBSGB · pith_short_16: 6BZE3HXDBSGBS4HQ · pith_short_8: 6BZE3HXD

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/6BZE3HXDBSGBS4HQLKCJB4JJCE \
  | 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: f0724d9ee30c8c1970f05a8490f1291105b4ceec2c0abe35d59cb1cb2a1fda38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5643bee9d30c6309d615b9ca453d49b880d1957dde0f62f3c01203edeb93563",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-20T11:49:30Z",
    "title_canon_sha256": "6e016e74f87e8d29ac3d6ad2106561637d5490433aedc39c3cc865cc968c3481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05843",
    "kind": "arxiv",
    "version": 2
  }
}