Pith Number

pith:EUNKDOD6

pith:2016:EUNKDOD6GHOECFNDDSHJBCHGUP

not attested not anchored not stored refs pending

Long-Time Behavior of Solutions to the Derivative Nonlinear Schr\"{o}dinger Equation for Soliton-Free Initial Data

Catherine Sulem, Jiaqi Liu, Peter Perry

arxiv:1608.07659 v1 · 2016-08-27 · 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{EUNKDOD6GHOECFNDDSHJBCHGUP}

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	2026-05-18T01:07:50.166778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

251aa1b87e31dc4115a31c8e9088e6a3f7c98b49e5a71e59ce267596a0524411

Aliases

arxiv: 1608.07659 · arxiv_version: 1608.07659v1 · doi: 10.48550/arxiv.1608.07659 · pith_short_12: EUNKDOD6GHOE · pith_short_16: EUNKDOD6GHOECFND · pith_short_8: EUNKDOD6

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/EUNKDOD6GHOECFNDDSHJBCHGUP \
  | 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: 251aa1b87e31dc4115a31c8e9088e6a3f7c98b49e5a71e59ce267596a0524411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d239fc13d0e457e0eb62d90d043f0a37d3a1ff81e85c89937919ea153f7ac9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-27T04:26:12Z",
    "title_canon_sha256": "de6aa7d08b559845785ecb3c0394d73d8c84af5d9751367ce8729505ecce51bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07659",
    "kind": "arxiv",
    "version": 1
  }
}