Pith Number

pith:TF67LNSW

pith:2015:TF67LNSWH62GIGOYD2MASQ7BVD

not attested not anchored not stored refs pending

The defocusing quintic NLS in four space dimensions

Benjamin Dodson, Changxing Miao, Jason Murphy, Jiqiang Zheng

arxiv:1508.07298 v1 · 2015-08-28 · 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{TF67LNSWH62GIGOYD2MASQ7BVD}

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	2026-05-18T00:40:14.194710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

997df5b6563fb46419d81e980943e1a8f163e3358c20d348443c92373a691e7e

Aliases

arxiv: 1508.07298 · arxiv_version: 1508.07298v1 · doi: 10.48550/arxiv.1508.07298 · pith_short_12: TF67LNSWH62G · pith_short_16: TF67LNSWH62GIGOY · pith_short_8: TF67LNSW

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/TF67LNSWH62GIGOYD2MASQ7BVD \
  | 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: 997df5b6563fb46419d81e980943e1a8f163e3358c20d348443c92373a691e7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f33e968ae5edd30868acb6a6fb5f01b1b9f72450e03d4f39df0e9025b1560ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-28T18:06:55Z",
    "title_canon_sha256": "68e41952365ee678ca6830cb9c2ed3020713a1fcc920baed750e4a6bda119c32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07298",
    "kind": "arxiv",
    "version": 1
  }
}