Pith Number

pith:3DH4ER6I

pith:2015:3DH4ER6IGRVC57EH3NGH5ESY7F

not attested not anchored not stored refs pending

Emptiness formation probability of the six-vertex model and the sixth Painlev\'e equation

A. G. Pronko, A. V. Kitaev

arxiv:1505.00032 v2 · 2015-04-30 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DH4ER6IGRVC57EH3NGH5ESY7F}

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	2026-05-18T01:12:18.486053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8cfc247c8346a2efc87db4c7e9258f95b7c5d26ef41ea6c8ec087811d8ba9d5

Aliases

arxiv: 1505.00032 · arxiv_version: 1505.00032v2 · doi: 10.48550/arxiv.1505.00032 · pith_short_12: 3DH4ER6IGRVC · pith_short_16: 3DH4ER6IGRVC57EH · pith_short_8: 3DH4ER6I

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/3DH4ER6IGRVC57EH3NGH5ESY7F \
  | 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: d8cfc247c8346a2efc87db4c7e9258f95b7c5d26ef41ea6c8ec087811d8ba9d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9c095612f2b197bbba336420b39c0088701c371ebe86161fe850ed00a5f9e3b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-30T20:55:13Z",
    "title_canon_sha256": "1d1e8759f8a9481293f33042793729a1a5c916236e3b950540528121acc74028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00032",
    "kind": "arxiv",
    "version": 2
  }
}