Pith Number

pith:MJEFAXD5

pith:2012:MJEFAXD55LAKU2HS6THG4BBKMN

not attested not anchored not stored refs pending

Quasilinear Schr\"odinger equations II: Small data and cubic nonlinearities

Daniel Tataru, Jason Metcalfe, Jeremy L. Marzuola

arxiv:1208.0544 v1 · 2012-08-02 · 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{MJEFAXD55LAKU2HS6THG4BBKMN}

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	2026-05-18T01:28:21.638906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6248505c7deac0aa68f2f4ce6e042a635640b207a2387711a0888375980c4470

Aliases

arxiv: 1208.0544 · arxiv_version: 1208.0544v1 · doi: 10.48550/arxiv.1208.0544 · pith_short_12: MJEFAXD55LAK · pith_short_16: MJEFAXD55LAKU2HS · pith_short_8: MJEFAXD5

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/MJEFAXD55LAKU2HS6THG4BBKMN \
  | 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: 6248505c7deac0aa68f2f4ce6e042a635640b207a2387711a0888375980c4470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd67bd4244348f545173dc81dd5fb8a72394242fd0cdd1e598a85fd31e50ac71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-02T17:02:45Z",
    "title_canon_sha256": "425365d4d2b1faa432378bc0968b9696ff71ab171103eb4ee11961ce867e5654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0544",
    "kind": "arxiv",
    "version": 1
  }
}