Pith Number

pith:F347T7QF

pith:2026:F347T7QFABYS5PVX4TX7OI4B7B

not attested not anchored not stored refs pending

LSR-Net: Long-Short-Range Operator Learning for Pattern Dynamics on Manifolds

Qian Serena Hou, Zecheng Gan

arxiv:2607.00750 v1 · 2026-07-01 · physics.comp-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{F347T7QFABYS5PVX4TX7OI4B7B}

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	2026-07-02T01:17:54.419529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef9f9fe0500712ebeb7e4eff72381f87cfe62b6cfa53e63455353af36c76c3c

Aliases

arxiv: 2607.00750 · arxiv_version: 2607.00750v1 · doi: 10.48550/arxiv.2607.00750 · pith_short_12: F347T7QFABYS · pith_short_16: F347T7QFABYS5PVX · pith_short_8: F347T7QF

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/F347T7QFABYS5PVX4TX7OI4B7B \
  | 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: 2ef9f9fe0500712ebeb7e4eff72381f87cfe62b6cfa53e63455353af36c76c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dff2c3e66f4060ed898aac70030d401c8be12941f411b6121e1ea806994590d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-07-01T10:34:21Z",
    "title_canon_sha256": "c89dcda3159b2d446294fdf583b414deede894cbb763f046a4aba5dd92f63665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00750",
    "kind": "arxiv",
    "version": 1
  }
}