Pith Number

pith:HMDT7ZSY

pith:2013:HMDT7ZSYCIKCLO3GFHTEC3WVXK

not attested not anchored not stored refs pending

Dispersive blow up for nonlinear Schroedinger equations revisited

Christof Sparber, Gustavo Ponce, Jean-Claude Saut, Jerry L. Bona

arxiv:1309.5023 v3 · 2013-09-19 · 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{HMDT7ZSYCIKCLO3GFHTEC3WVXK}

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	2026-05-18T03:01:56.113691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b073fe658121425bb6629e6416ed5babbfabeb25ee9631b9a905971c90435a6

Aliases

arxiv: 1309.5023 · arxiv_version: 1309.5023v3 · doi: 10.48550/arxiv.1309.5023 · pith_short_12: HMDT7ZSYCIKC · pith_short_16: HMDT7ZSYCIKCLO3G · pith_short_8: HMDT7ZSY

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/HMDT7ZSYCIKCLO3GFHTEC3WVXK \
  | 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: 3b073fe658121425bb6629e6416ed5babbfabeb25ee9631b9a905971c90435a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65651162966030f2e09a5891be6d3f7b4433debf2aab7e8ef54419fba6d28508",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-19T15:26:56Z",
    "title_canon_sha256": "d666517e95443a800dac5b8e618095f6d5f9108c3bd542e05bd111d9b81e1afb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5023",
    "kind": "arxiv",
    "version": 3
  }
}