Pith Number

pith:34TCZFZE

pith:2013:34TCZFZE3HNL72RXMXRYK25MQK

not attested not anchored not stored refs pending

Linear differential equations on the Riemann sphere and representations of quivers

Kazuki Hiroe

arxiv:1307.7438 v4 · 2013-07-29 · math.CA · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34TCZFZE3HNL72RXMXRYK25MQK}

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.

Cited by

1 paper in Pith

Les Houches Lectures on Exact WKB Analysis and Painlev\'e Equations

Receipt and verification

First computed	2026-05-18T00:47:16.075335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df262c9724d9dabfea3765e3856bac8281c7e71fa27f624b2457c9c85d6cf53e

Aliases

arxiv: 1307.7438 · arxiv_version: 1307.7438v4 · doi: 10.48550/arxiv.1307.7438 · pith_short_12: 34TCZFZE3HNL · pith_short_16: 34TCZFZE3HNL72RX · pith_short_8: 34TCZFZE

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/34TCZFZE3HNL72RXMXRYK25MQK \
  | 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: df262c9724d9dabfea3765e3856bac8281c7e71fa27f624b2457c9c85d6cf53e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e34486407f4f03f2885e111560c56650f2f6049aa1c0544b6b974f2d488d4c70",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-29T02:01:37Z",
    "title_canon_sha256": "8e9c343397d4f10bf2d27b99909456332e843c79d0157791931ff4591dd64e36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7438",
    "kind": "arxiv",
    "version": 4
  }
}