Pith Number

pith:DJ4GZITD

pith:2021:DJ4GZITDKQEMTTPMEUW3BZKBRC

not attested not anchored not stored refs pending

A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton

Benjamin Dodson

arxiv:2104.11690 v1 · 2021-04-23 · 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{DJ4GZITDKQEMTTPMEUW3BZKBRC}

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	2026-07-05T08:36:15.632173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a786ca2635408c9cdec252db0e54188b26fa60768e59455b79f0cc6dcb4ed1c

Aliases

arxiv: 2104.11690 · arxiv_version: 2104.11690v1 · doi: 10.48550/arxiv.2104.11690 · pith_short_12: DJ4GZITDKQEM · pith_short_16: DJ4GZITDKQEMTTPM · pith_short_8: DJ4GZITD

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/DJ4GZITDKQEMTTPMEUW3BZKBRC \
  | 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: 1a786ca2635408c9cdec252db0e54188b26fa60768e59455b79f0cc6dcb4ed1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a706b64d6d30ab3cff2d180839b5010031907e8d6df979ff285a2b25af81e223",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-04-23T16:28:58Z",
    "title_canon_sha256": "30ad835d978ebb9b771beb42276c5cd116bb5f041d8b69238f71b15445320dfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.11690",
    "kind": "arxiv",
    "version": 1
  }
}