Pith Number

pith:QYZK2NK3

pith:2015:QYZK2NK3PKM3MZKVZJKZCG7PAR

not attested not anchored not stored refs pending

$q$-Borel-Laplace summation for $q$-difference equations with two slopes

Anton Eloy, Thomas Dreyfus

arxiv:1501.02994 v3 · 2015-01-13 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYZK2NK3PKM3MZKVZJKZCG7PAR}

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	2026-05-17T23:53:07.006434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8632ad355b7a99b66555ca55911bef04679144d9e3e0a27037a3536dc3edb688

Aliases

arxiv: 1501.02994 · arxiv_version: 1501.02994v3 · doi: 10.48550/arxiv.1501.02994 · pith_short_12: QYZK2NK3PKM3 · pith_short_16: QYZK2NK3PKM3MZKV · pith_short_8: QYZK2NK3

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/QYZK2NK3PKM3MZKVZJKZCG7PAR \
  | 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: 8632ad355b7a99b66555ca55911bef04679144d9e3e0a27037a3536dc3edb688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d255799e87784f28fffa980269a9b0e0ed3135ef7e1de393847a49cf6961765d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-01-13T13:24:32Z",
    "title_canon_sha256": "39251d4d1b2da73ce4b79f91227f2f556226ce937477892158b69bfc59101132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02994",
    "kind": "arxiv",
    "version": 3
  }
}