Pith Number

pith:TK57BT2R

pith:2015:TK57BT2R4AIZDGKF4KD7HUTNPC

not attested not anchored not stored refs pending

Topologically completely positive entropy and zero-dimensional topologically completely positive entropy

Ronnie Pavlov

arxiv:1508.05064 v1 · 2015-08-20 · 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{TK57BT2R4AIZDGKF4KD7HUTNPC}

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	2026-05-18T01:34:59.773891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abbf0cf51e011919945e287f3d26d78a0f23d800e075d9a3b466f417e96f946

Aliases

arxiv: 1508.05064 · arxiv_version: 1508.05064v1 · doi: 10.48550/arxiv.1508.05064 · pith_short_12: TK57BT2R4AIZ · pith_short_16: TK57BT2R4AIZDGKF · pith_short_8: TK57BT2R

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/TK57BT2R4AIZDGKF4KD7HUTNPC \
  | 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: 9abbf0cf51e011919945e287f3d26d78a0f23d800e075d9a3b466f417e96f946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a552a9288f0050aa7dbe22c8db934654ba9cb14129b3f12f50f78e143f9570",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-20T18:35:27Z",
    "title_canon_sha256": "f3ffdbdfe2574f45a4c4772462257f3db1783f058b8c99c2ca7f90bc36b239a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05064",
    "kind": "arxiv",
    "version": 1
  }
}