Pith Number

pith:QUZGYLID

pith:2011:QUZGYLID2GQWZLQMYU3XXOM3RM

not attested not anchored not stored refs pending

Shatalov-Sternin's construction of complex WKB solutions and the choice of integration paths

Alexander Getmanenko

arxiv:1111.0834 v2 · 2011-11-03 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUZGYLID2GQWZLQMYU3XXOM3RM}

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	2026-05-18T02:48:55.182475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85326c2d03d1a16cae0cc5377bb99b8b0a8cb6e48b097e75213c12166795328d

Aliases

arxiv: 1111.0834 · arxiv_version: 1111.0834v2 · doi: 10.48550/arxiv.1111.0834 · pith_short_12: QUZGYLID2GQW · pith_short_16: QUZGYLID2GQWZLQM · pith_short_8: QUZGYLID

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/QUZGYLID2GQWZLQMYU3XXOM3RM \
  | 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: 85326c2d03d1a16cae0cc5377bb99b8b0a8cb6e48b097e75213c12166795328d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b26e926c15f0f67fa4bffa7457b179687d1898c3f6a87a17ee5d60b709e54f95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-03T13:33:58Z",
    "title_canon_sha256": "d6d31ffeb2adf93465cf11c55fd6556410b844b22ca2ecd511c4922841e7ddcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0834",
    "kind": "arxiv",
    "version": 2
  }
}