Pith Number

pith:QYYLR4KE

pith:2013:QYYLR4KEKU7CSVTCFZR23SUXWL

not attested not anchored not stored refs pending

Arithmetic Differential Equations of Painleve' VI Type

Alexandru Buium, Yuri I. Manin

arxiv:1307.3841 v2 · 2013-07-15 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYYLR4KEKU7CSVTCFZR23SUXWL}

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	2026-05-18T03:04:22.422831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8630b8f144553e2956622e63adca97b2db0504fb082f7c6ed5f0d40b228dcb89

Aliases

arxiv: 1307.3841 · arxiv_version: 1307.3841v2 · doi: 10.48550/arxiv.1307.3841 · pith_short_12: QYYLR4KEKU7C · pith_short_16: QYYLR4KEKU7CSVTC · pith_short_8: QYYLR4KE

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/QYYLR4KEKU7CSVTCFZR23SUXWL \
  | 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: 8630b8f144553e2956622e63adca97b2db0504fb082f7c6ed5f0d40b228dcb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0be927e4e742c5995656674061395927bcccb2c0c29ad624a7c357b87bd1839",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-15T07:48:58Z",
    "title_canon_sha256": "0b1c381dd3a5cf33bccdbb369e088ccae68dbece26008032ba57138599c09543"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3841",
    "kind": "arxiv",
    "version": 2
  }
}