Pith Number

pith:WW27JVU7

pith:2016:WW27JVU7WKTP6OKZSXH3KJPWWB

not attested not anchored not stored refs pending

A Large Deviation Principle for Gibbs States on Markov Shifts at Zero Temperature

Edgardo P\'erez, Jairo K. Mengue, Rodrigo Bissacot

arxiv:1612.05831 v2 · 2016-12-17 · 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{WW27JVU7WKTP6OKZSXH3KJPWWB}

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	2026-05-18T00:54:10.298730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b5f4d69fb2a6ff395995cfb525f6b04a2806fc6645e87699fde03aa00f3e01

Aliases

arxiv: 1612.05831 · arxiv_version: 1612.05831v2 · doi: 10.48550/arxiv.1612.05831 · pith_short_12: WW27JVU7WKTP · pith_short_16: WW27JVU7WKTP6OKZ · pith_short_8: WW27JVU7

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/WW27JVU7WKTP6OKZSXH3KJPWWB \
  | 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: b5b5f4d69fb2a6ff395995cfb525f6b04a2806fc6645e87699fde03aa00f3e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b41c5736f91810c6e7a7eb7f8323dab2986f6cc5e95f9e631385c011b57bc7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-17T22:19:32Z",
    "title_canon_sha256": "5c46ac3121881fec479c3c66b24b459dacd754a47c7764d32cd6b7761d055f34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05831",
    "kind": "arxiv",
    "version": 2
  }
}