Pith Number

pith:LMEJ5UJL

pith:2015:LMEJ5UJL7TOEXXTHSIW3NXEJPY

not attested not anchored not stored refs pending

Simple Lie algebras and topological ODEs

Boris Dubrovin, Di Yang, Marco Bertola

arxiv:1508.03750 v2 · 2015-08-15 · math-ph · math.AG · 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{LMEJ5UJL7TOEXXTHSIW3NXEJPY}

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	2026-05-18T01:28:25.226947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b089ed12bfcdc4bde67922db6dc897e0edfaa97f7d7bb140dc48d4bbca87d88

Aliases

arxiv: 1508.03750 · arxiv_version: 1508.03750v2 · doi: 10.48550/arxiv.1508.03750 · pith_short_12: LMEJ5UJL7TOE · pith_short_16: LMEJ5UJL7TOEXXTH · pith_short_8: LMEJ5UJL

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/LMEJ5UJL7TOEXXTHSIW3NXEJPY \
  | 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: 5b089ed12bfcdc4bde67922db6dc897e0edfaa97f7d7bb140dc48d4bbca87d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f003b7bc59ec6be41e6cb1b158ce3c9fde63db030f0532cf97beed19fa73e00",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-15T16:34:33Z",
    "title_canon_sha256": "8e7a4c1072bb1adf16af23f733347905ddf79e1839f2e6982d2bb2f5a1698df6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03750",
    "kind": "arxiv",
    "version": 2
  }
}