Pith Number

pith:YOEWPOA5

pith:2019:YOEWPOA5AFPCND2KA3C2WFMM4Q

not attested not anchored not stored refs pending

Thermodynamic formalism of $GL_2(\mathbb{R})$-cocycles with canonical holonomies

Clark Butler, Kiho Park

arxiv:1909.11548 v2 · 2019-09-25 · 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{YOEWPOA5AFPCND2KA3C2WFMM4Q}

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	2026-07-05T01:34:49.743060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38967b81d015e268f4a06c5ab158ce42474d5f84ebb7f3a4aadf45926789dc9

Aliases

arxiv: 1909.11548 · arxiv_version: 1909.11548v2 · doi: 10.48550/arxiv.1909.11548 · pith_short_12: YOEWPOA5AFPC · pith_short_16: YOEWPOA5AFPCND2K · pith_short_8: YOEWPOA5

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/YOEWPOA5AFPCND2KA3C2WFMM4Q \
  | 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: c38967b81d015e268f4a06c5ab158ce42474d5f84ebb7f3a4aadf45926789dc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bbe4a939d877d7160c21d0a726b4dff2d1e7fda107e3893507b521470ba567d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-09-25T15:16:23Z",
    "title_canon_sha256": "2069f69baf95614f0c606768df8f4d10e4cc42562d766664b40f46731bcab9ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.11548",
    "kind": "arxiv",
    "version": 2
  }
}