Pith Number

pith:MLDD5NVV

pith:2016:MLDD5NVV4FNMM4KC6JXJ54AFNG

not attested not anchored not stored refs pending

Uniform mixing and completely positive sofic entropy

Peter Burton, Tim Austin

arxiv:1603.09026 v2 · 2016-03-30 · 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{MLDD5NVV4FNMM4KC6JXJ54AFNG}

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	2026-05-18T01:00:19.457906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62c63eb6b5e15ac67142f26e9ef005699eec8058ac24f35ffaf5d7ed210d45ec

Aliases

arxiv: 1603.09026 · arxiv_version: 1603.09026v2 · doi: 10.48550/arxiv.1603.09026 · pith_short_12: MLDD5NVV4FNM · pith_short_16: MLDD5NVV4FNMM4KC · pith_short_8: MLDD5NVV

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/MLDD5NVV4FNMM4KC6JXJ54AFNG \
  | 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: 62c63eb6b5e15ac67142f26e9ef005699eec8058ac24f35ffaf5d7ed210d45ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "842d2d5ee670b67d6062b1a265519e84d353afb0996a35f7f71d1fb8d91e6e79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-30T03:07:21Z",
    "title_canon_sha256": "e55727f4093141d669bbebad9010951e613e5cd798c2c2fe6794d0ce98260732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09026",
    "kind": "arxiv",
    "version": 2
  }
}