Pith Number

pith:SAFDZFHZ

pith:2016:SAFDZFHZODH73NO25HD6K2URY7

not attested not anchored not stored refs pending

Transformation of perturbative series into complex phases and elimination of secular divergences in time-dependent perturbation theory in quantum mechanics

Q. H. Liu

arxiv:1605.00741 v2 · 2016-05-03 · 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{SAFDZFHZODH73NO25HD6K2URY7}

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	2026-05-18T01:11:21.320113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

900a3c94f970cffdb5dae9c7e56a91c7c0a01c2d25835c834304ea9b46cdfa0e

Aliases

arxiv: 1605.00741 · arxiv_version: 1605.00741v2 · doi: 10.48550/arxiv.1605.00741 · pith_short_12: SAFDZFHZODH7 · pith_short_16: SAFDZFHZODH73NO2 · pith_short_8: SAFDZFHZ

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/SAFDZFHZODH73NO25HD6K2URY7 \
  | 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: 900a3c94f970cffdb5dae9c7e56a91c7c0a01c2d25835c834304ea9b46cdfa0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70d59380a80bad680eb15785bdb59574ec89de53bb3f5c89ab89b3dd4f343aa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-05-03T03:01:12Z",
    "title_canon_sha256": "72edca8bb8fa00bcca37cb478a43b44314437b0e0cbb678c7447257bd03f8df3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00741",
    "kind": "arxiv",
    "version": 2
  }
}