Pith Number

pith:TGC5OJIR

pith:2026:TGC5OJIRCQFNZF2ISTHHCM6UJA

not attested not anchored not stored refs pending

Uniqueness of bound states to the logarithmic Schr\"odinger equation

Tianhao Liu, Wenming Zou, Xin Sun

arxiv:2606.19077 v1 · 2026-06-17 · 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{TGC5OJIRCQFNZF2ISTHHCM6UJA}

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	2026-06-19T16:11:55.997042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9985d72511140adc974894ce7133d4483c31d232d7246d80c118c80d1c3741fe

Aliases

arxiv: 2606.19077 · arxiv_version: 2606.19077v1 · doi: 10.48550/arxiv.2606.19077 · pith_short_12: TGC5OJIRCQFN · pith_short_16: TGC5OJIRCQFNZF2I · pith_short_8: TGC5OJIR

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/TGC5OJIRCQFNZF2ISTHHCM6UJA \
  | 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: 9985d72511140adc974894ce7133d4483c31d232d7246d80c118c80d1c3741fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34ff0c4fa6603d05a0cf2d01832302fe531dd26a3bd3066fcdb27c4d06cd504a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-17T13:48:34Z",
    "title_canon_sha256": "24bbb46610cfcbe253f153a052e529a046c431704f69dcb564ee34f11c432646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19077",
    "kind": "arxiv",
    "version": 1
  }
}