Pith Number

pith:EK6NBE4O

pith:2013:EK6NBE4OJOPRCTAEOVFKQSOWL4

not attested not anchored not stored refs pending

Topological and Ergodic properties of symmetric subshifts

Rafael Alcaraz Barrera

arxiv:1306.2054 v2 · 2013-06-09 · 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{EK6NBE4OJOPRCTAEOVFKQSOWL4}

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	2026-05-18T02:53:53.800657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22bcd0938e4b9f114c04754aa849d65f2b33b3ef649aae35d126e080da6a2f24

Aliases

arxiv: 1306.2054 · arxiv_version: 1306.2054v2 · doi: 10.48550/arxiv.1306.2054 · pith_short_12: EK6NBE4OJOPR · pith_short_16: EK6NBE4OJOPRCTAE · pith_short_8: EK6NBE4O

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/EK6NBE4OJOPRCTAEOVFKQSOWL4 \
  | 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: 22bcd0938e4b9f114c04754aa849d65f2b33b3ef649aae35d126e080da6a2f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a99d058185e193f2425b7d32950a8e938ef3881bd9a630fdae0e07e95da828cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-09T19:24:03Z",
    "title_canon_sha256": "30bbd74a3c92e131fdd5d6883a2b1bcd58d9a1e4fc81947adaa4ae5ac52fbfb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2054",
    "kind": "arxiv",
    "version": 2
  }
}