Pith Number

pith:KQYY7UQD

pith:2014:KQYY7UQDE5OZV2DKX4FWLF3NPL

not attested not anchored not stored refs pending

A sign-changing Liouville Equation

Alejandro Sarria, Ralph Saxton

arxiv:1410.0749 v1 · 2014-10-03 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQYY7UQDE5OZV2DKX4FWLF3NPL}

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	2026-05-18T02:41:09.749964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54318fd203275d9ae86abf0b65976d7ac19ee3947a599cb291193cdbb93601a4

Aliases

arxiv: 1410.0749 · arxiv_version: 1410.0749v1 · doi: 10.48550/arxiv.1410.0749 · pith_short_12: KQYY7UQDE5OZ · pith_short_16: KQYY7UQDE5OZV2DK · pith_short_8: KQYY7UQD

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/KQYY7UQDE5OZV2DKX4FWLF3NPL \
  | 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: 54318fd203275d9ae86abf0b65976d7ac19ee3947a599cb291193cdbb93601a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29bbaf9e8e0a8caf0b16c0aa55aa92a76a35d831d0fd23f8607c4b5c58a0a795",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-03T04:09:45Z",
    "title_canon_sha256": "27ae3da1bb69eb4f73548081956c6e3cd6c39c7bc85b6ef392db88edbc123038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0749",
    "kind": "arxiv",
    "version": 1
  }
}