Pith Number

pith:L5VG7OAR

pith:2011:L5VG7OARWWIOVBQI3CP32G5TUT

not attested not anchored not stored refs pending

The Cohomological Equation and Invariant Distributions for Horocycle Maps

James Tanis

arxiv:1109.3495 v5 · 2011-09-15 · 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{L5VG7OARWWIOVBQI3CP32G5TUT}

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	2026-05-17T23:53:36.504309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f6a6fb811b590ea8608d89fbd1bb3a4fbb9e1af8dfd43a6c8b5777cf8e961eb

Aliases

arxiv: 1109.3495 · arxiv_version: 1109.3495v5 · doi: 10.48550/arxiv.1109.3495 · pith_short_12: L5VG7OARWWIO · pith_short_16: L5VG7OARWWIOVBQI · pith_short_8: L5VG7OAR

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/L5VG7OARWWIOVBQI3CP32G5TUT \
  | 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: 5f6a6fb811b590ea8608d89fbd1bb3a4fbb9e1af8dfd43a6c8b5777cf8e961eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9285db5696a9f6741c8fcf3ffb277adb07c43cbead13f2409b2c97bc50181a67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-15T21:46:39Z",
    "title_canon_sha256": "ce7d0c92f1a8a27f219340c0beaa1bbb67f58cdb5b67357bf0e9f3427578d22a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3495",
    "kind": "arxiv",
    "version": 5
  }
}