Pith Number

pith:YO55LB5X

pith:2026:YO55LB5XFXPZLMPESYZR45FIRL

not attested not anchored not stored refs pending

Distribution solutions of a static dispersion Schr\"{o}dinger equation

Tiantian Zhou, Yutian Lei

arxiv:2607.05919 v1 · 2026-07-07 · 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{YO55LB5XFXPZLMPESYZR45FIRL}

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	2026-07-08T01:18:50.266130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3bbd587b72ddf95b1e496331e74a88aff338568493c5f6162d5c9098576f92e

Aliases

arxiv: 2607.05919 · arxiv_version: 2607.05919v1 · doi: 10.48550/arxiv.2607.05919 · pith_short_12: YO55LB5XFXPZ · pith_short_16: YO55LB5XFXPZLMPE · pith_short_8: YO55LB5X

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/YO55LB5XFXPZLMPESYZR45FIRL \
  | 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: c3bbd587b72ddf95b1e496331e74a88aff338568493c5f6162d5c9098576f92e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe3e9256475173de88034d0210f96d01d6f4ee113edff5d9e024c54c9273c98e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-07T07:16:17Z",
    "title_canon_sha256": "51f8b8d9aec227c254c151a6020736b079cfaac75158d382cc1749740ddc2695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05919",
    "kind": "arxiv",
    "version": 1
  }
}