Pith Number

pith:4PTCDOEP

pith:2026:4PTCDOEP5BIETDECGMH4LFERAR

not attested not anchored not stored refs pending

On a class of logarithmic Schr\"odinger equations via perturbation method

Chen Huang, Zhipeng Yang

arxiv:2601.12732 v2 · 2026-01-19 · 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{4PTCDOEP5BIETDECGMH4LFERAR}

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	2026-05-20T00:03:02.556232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e621b88fe850498c82330fc594910453d31e674b04dea99bf002ecfa1ded97

Aliases

arxiv: 2601.12732 · arxiv_version: 2601.12732v2 · doi: 10.48550/arxiv.2601.12732 · pith_short_12: 4PTCDOEP5BIE · pith_short_16: 4PTCDOEP5BIETDEC · pith_short_8: 4PTCDOEP

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/4PTCDOEP5BIETDECGMH4LFERAR \
  | 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: e3e621b88fe850498c82330fc594910453d31e674b04dea99bf002ecfa1ded97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531afa4add42d397cb4c9bac84ebcf334fc76f0a681a02ba8b3be477f9b08dab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-01-19T05:23:56Z",
    "title_canon_sha256": "8bf1d2c46f9d3b1b856e51bc7ac3fe20a2db176461596609a84474797b51827a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.12732",
    "kind": "arxiv",
    "version": 2
  }
}