Pith Number

pith:WZDWWN4L

pith:2019:WZDWWN4L5JUAZCWMWRQDHJ75XC

not attested not anchored not stored refs pending

WKB asymptotics of meromorphic solutions of difference equations

Alexander Fedotov (Department of Mathematical Physics), Fr\'ed\'eric Klopp (IMJ-PRG, SU)

arxiv:1903.02224 v2 · 2019-03-06 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZDWWN4L5JUAZCWMWRQDHJ75XC}

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	2026-05-17T23:47:01.700655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6476b378bea680c8accb46033a7fdb8bfab84e4210979a76372034ab722d081

Aliases

arxiv: 1903.02224 · arxiv_version: 1903.02224v2 · doi: 10.48550/arxiv.1903.02224 · pith_short_12: WZDWWN4L5JUA · pith_short_16: WZDWWN4L5JUAZCWM · pith_short_8: WZDWWN4L

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/WZDWWN4L5JUAZCWMWRQDHJ75XC \
  | 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: b6476b378bea680c8accb46033a7fdb8bfab84e4210979a76372034ab722d081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c930667e80be71d8c5a19f21abb6dc1d0e48fab2d719ed89fe716dd992cdc7",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-03-06T07:55:12Z",
    "title_canon_sha256": "b345c4869566bca9545fcd867baf25ac0569d93de0c6794fd258dd6de4a315d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02224",
    "kind": "arxiv",
    "version": 2
  }
}