Pith Number

pith:GYOOUWIH

pith:2019:GYOOUWIHZEUV5Z6BJG4NIF5F34

not attested not anchored not stored refs pending

Peierls barrier for countable Markov shifts

Jose Chauta, Ricardo Freire

arxiv:1904.09655 v1 · 2019-04-21 · 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{GYOOUWIHZEUV5Z6BJG4NIF5F34}

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	2026-05-17T23:48:03.718624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

361cea5907c9295ee7c149b8d417a5df10b6fb9db19063748747b9d7a9d6ad42

Aliases

arxiv: 1904.09655 · arxiv_version: 1904.09655v1 · doi: 10.48550/arxiv.1904.09655 · pith_short_12: GYOOUWIHZEUV · pith_short_16: GYOOUWIHZEUV5Z6B · pith_short_8: GYOOUWIH

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/GYOOUWIHZEUV5Z6BJG4NIF5F34 \
  | 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: 361cea5907c9295ee7c149b8d417a5df10b6fb9db19063748747b9d7a9d6ad42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d34e995d031a24d47d60808fd656b73a3045547050a7691e968b7e637aea51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-04-21T20:36:23Z",
    "title_canon_sha256": "62eeddb137c26797d9c938c130a50a0db544aaebf2cc824dbcb5d1bb23920fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09655",
    "kind": "arxiv",
    "version": 1
  }
}