Pith Number

pith:Z6YNS4GG

pith:2017:Z6YNS4GG2KRTS326NRH6VBH4UF

not attested not anchored not stored refs pending

Tunneling for a class of Difference Operators: Complete Asymptotics

Elke Rosenberger, Markus Klein

arxiv:1706.06315 v1 · 2017-06-20 · 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{Z6YNS4GG2KRTS326NRH6VBH4UF}

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	2026-05-18T00:01:00.601699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfb0d970c6d2a3396f5e6c4fea84fca1462661554adb7d7c70938152fa1ad9bc

Aliases

arxiv: 1706.06315 · arxiv_version: 1706.06315v1 · doi: 10.48550/arxiv.1706.06315 · pith_short_12: Z6YNS4GG2KRT · pith_short_16: Z6YNS4GG2KRTS326 · pith_short_8: Z6YNS4GG

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/Z6YNS4GG2KRTS326NRH6VBH4UF \
  | 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: cfb0d970c6d2a3396f5e6c4fea84fca1462661554adb7d7c70938152fa1ad9bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf501af9af7ffe544b52e8c528cdd13e45cc237b78fe68a42a9ef41fe9acb8ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-06-20T08:37:10Z",
    "title_canon_sha256": "2e410f576dee82c44c7fd2370db1211c5e828499bba658b8aab55938a9610c64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06315",
    "kind": "arxiv",
    "version": 1
  }
}