Pith Number

pith:ZLRO7U44

pith:2018:ZLRO7U44CUCUSR4CR4BIWTUMTL

not attested not anchored not stored refs pending

New generalized Mehler-Fock transformations and applications to the resolvent equation

Eren Ucar

arxiv:1809.02757 v1 · 2018-09-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLRO7U44CUCUSR4CR4BIWTUMTL}

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	2026-05-18T00:06:15.390274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cae2efd39c15054947828f028b4e8c9af0ea8e132fd527638b988aab97d8a40f

Aliases

arxiv: 1809.02757 · arxiv_version: 1809.02757v1 · doi: 10.48550/arxiv.1809.02757 · pith_short_12: ZLRO7U44CUCU · pith_short_16: ZLRO7U44CUCUSR4C · pith_short_8: ZLRO7U44

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/ZLRO7U44CUCUSR4CR4BIWTUMTL \
  | 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: cae2efd39c15054947828f028b4e8c9af0ea8e132fd527638b988aab97d8a40f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "134738a84aadb74eaed3cd4bf0f750c71590c33b8f7e1972f43103dbf0c4bce2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-08T04:54:09Z",
    "title_canon_sha256": "f10326a1687c59aa5c8fe27932ace0519e2a9ebfc4e47742e82764ce0badd402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02757",
    "kind": "arxiv",
    "version": 1
  }
}