Pith Number

pith:5IIG4J5R

pith:2013:5IIG4J5R6KJUESS4MM363PJA7L

not attested not anchored not stored refs pending

On discrete rarefaction waves in a nonlinear Schr\"odinger equation toy model for weak turbulence

Jeremy L. Marzuola, Sebastian Herr

arxiv:1307.1873 v4 · 2013-07-07 · math.CA · 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{5IIG4J5R6KJUESS4MM363PJA7L}

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	2026-05-18T00:18:41.964549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea106e27b1f293424a5c6337edbd20fafc1ca4b4f298eaafeb6eb547b213c349

Aliases

arxiv: 1307.1873 · arxiv_version: 1307.1873v4 · doi: 10.48550/arxiv.1307.1873 · pith_short_12: 5IIG4J5R6KJU · pith_short_16: 5IIG4J5R6KJUESS4 · pith_short_8: 5IIG4J5R

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/5IIG4J5R6KJUESS4MM363PJA7L \
  | 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: ea106e27b1f293424a5c6337edbd20fafc1ca4b4f298eaafeb6eb547b213c349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50a9ee72230cd098b22b3f02eaad1078324a4359ff6eac1fcfe14b33d45fa7ea",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-07T15:07:01Z",
    "title_canon_sha256": "9ebf28d6dec88f474c02188ec44bee2411f449fe60a075b8a9c1b6156b4f0ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1873",
    "kind": "arxiv",
    "version": 4
  }
}