Pith Number

pith:YJ57WYXM

pith:2011:YJ57WYXM3UGIPMSWGZRCVSX47Q

not attested not anchored not stored refs pending

Quasilinear Schr\"odinger equations I: Small data and quadratic interactions

Daniel Tataru, Jason Metcalfe, Jeremy L. Marzuola

arxiv:1106.0490 v2 · 2011-06-02 · 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{YJ57WYXM3UGIPMSWGZRCVSX47Q}

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	2026-05-18T03:55:23.504406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c27bfb62ecdd0c87b25636622acafcfc34d5307dcf102f30da157ddc158d1f3a

Aliases

arxiv: 1106.0490 · arxiv_version: 1106.0490v2 · doi: 10.48550/arxiv.1106.0490 · pith_short_12: YJ57WYXM3UGI · pith_short_16: YJ57WYXM3UGIPMSW · pith_short_8: YJ57WYXM

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/YJ57WYXM3UGIPMSWGZRCVSX47Q \
  | 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: c27bfb62ecdd0c87b25636622acafcfc34d5307dcf102f30da157ddc158d1f3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebc640b66081e598982ac87319cc2d1328b6f176c9e7974775b33eed43c1a2c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-02T19:36:46Z",
    "title_canon_sha256": "6c99010dbe3c4b31b5503edaa57148b4cb82b3b216500c39ff2eddd94e8c31a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0490",
    "kind": "arxiv",
    "version": 2
  }
}