Pith Number

pith:Z3ZPQ33M

pith:2016:Z3ZPQ33MBP5MNPAQJDQYMLOYN5

not attested not anchored not stored refs pending

Thermodynamics Quantities for the Klein-Gordon Equation with a Linear plus Inverse-linear Potential: Biconfluent Heun functions

Altug Arda, Cevdet Tezcan, Ramazan Sever

arxiv:1608.08090 v1 · 2016-08-26 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3ZPQ33MBP5MNPAQJDQYMLOYN5}

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	2026-05-18T00:50:56.731450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef2f86f6c0bfac6bc1048e1862dd86f55b5651ffb5cc6f8cd150a106ce1c10e

Aliases

arxiv: 1608.08090 · arxiv_version: 1608.08090v1 · doi: 10.48550/arxiv.1608.08090 · pith_short_12: Z3ZPQ33MBP5M · pith_short_16: Z3ZPQ33MBP5MNPAQ · pith_short_8: Z3ZPQ33M

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/Z3ZPQ33MBP5MNPAQJDQYMLOYN5 \
  | 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: cef2f86f6c0bfac6bc1048e1862dd86f55b5651ffb5cc6f8cd150a106ce1c10e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb75f5e6de0c00b21e55a3d8914627fb45d84c948d961468514deb3c2429382a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-08-26T12:28:39Z",
    "title_canon_sha256": "8fa284148e79c2bdaf6ec21a1d773d0e45d230f66733aaf4881117c5a3194dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08090",
    "kind": "arxiv",
    "version": 1
  }
}