Pith Number

pith:VF6N4A4T

pith:2016:VF6N4A4TQEYQAG6MNOICXKSN27

not attested not anchored not stored refs pending

Scattering for the 3D Gross-Pitaevskii equation

Kenji Nakanishi, Zaher Hani, Zihua Guo

arxiv:1611.08320 v2 · 2016-11-24 · math.AP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VF6N4A4TQEYQAG6MNOICXKSN27}

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	2026-05-18T00:26:01.615088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a97cde03938131001bcc6b902baa4dd7f420113370f331c7a28a706b29b72997

Aliases

arxiv: 1611.08320 · arxiv_version: 1611.08320v2 · doi: 10.48550/arxiv.1611.08320 · pith_short_12: VF6N4A4TQEYQ · pith_short_16: VF6N4A4TQEYQAG6M · pith_short_8: VF6N4A4T

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/VF6N4A4TQEYQAG6MNOICXKSN27 \
  | 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: a97cde03938131001bcc6b902baa4dd7f420113370f331c7a28a706b29b72997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca4ad2218def3e32ee3d437726c36d4c40d7d772d04123f8a0a28edc2d35c1e2",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-24T23:07:35Z",
    "title_canon_sha256": "82d1ff089b9526751a92a1c94ea72d54cde5425de14c1864194fb5f0e8b04dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08320",
    "kind": "arxiv",
    "version": 2
  }
}