Pith Number

pith:3I3YZHH7

pith:2026:3I3YZHH7HOER6JTJNB477QLXAI

not attested not anchored not stored refs pending

Threshold dynamics for the 4$d$ mass-energy double critical NLS

Alex H. Ardila, Jason Murphy, Jiqiang Zheng, Zuyu Ma

arxiv:2605.20715 v1 · 2026-05-20 · 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{3I3YZHH7HOER6JTJNB477QLXAI}

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	2026-05-21T01:04:50.503252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da378c9cff3b891f26696879ffc177021b10413393f75decfe1854599c3977fa

Aliases

arxiv: 2605.20715 · arxiv_version: 2605.20715v1 · doi: 10.48550/arxiv.2605.20715 · pith_short_12: 3I3YZHH7HOER · pith_short_16: 3I3YZHH7HOER6JTJ · pith_short_8: 3I3YZHH7

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/3I3YZHH7HOER6JTJNB477QLXAI \
  | 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: da378c9cff3b891f26696879ffc177021b10413393f75decfe1854599c3977fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c729fc6e7783d06ea4400b75e713eb7cbbfec9e7371e7bfac4c41d744419e1eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-20T05:15:01Z",
    "title_canon_sha256": "498bf2d686e300e0948893743609ba77b07c09a7e9db49f810a18587d306348b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20715",
    "kind": "arxiv",
    "version": 1
  }
}