Pith Number

pith:BSXJ4WI2

pith:2003:BSXJ4WI2ZBHFOORX5Q546XUBUL

not attested not anchored not stored refs pending

Ill-posedness for nonlinear Schrodinger and wave equations

James Colliander (Toronto), Michael Christ (UC Berkeley), Terence Tao (UCLA)

arxiv:math/0311048 v1 · 2003-11-04 · 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{BSXJ4WI2ZBHFOORX5Q546XUBUL}

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.

Cited by

1 paper in Pith

Norm inflation for the cubic hyperbolic NLS on $\mathbb T^2$

Receipt and verification

First computed	2026-07-04T14:37:57.652995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cae9e591ac84e573a37ec3bcf5e81a2f9588a4be4d6572e3395f65df0f6a697

Aliases

arxiv: math/0311048 · arxiv_version: math/0311048v1 · doi: 10.48550/arxiv.math/0311048 · pith_short_12: BSXJ4WI2ZBHF · pith_short_16: BSXJ4WI2ZBHFOORX · pith_short_8: BSXJ4WI2

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/BSXJ4WI2ZBHFOORX5Q546XUBUL \
  | 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: 0cae9e591ac84e573a37ec3bcf5e81a2f9588a4be4d6572e3395f65df0f6a697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e64f74898b56e262d5856c4ae834e5d99a52656ef34b23417087f2d9ba9bebad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2003-11-04T21:00:25Z",
    "title_canon_sha256": "3b2c187b01f248ec58a4b043d6e44abde1971142aabfca6558111e60dfd0843c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311048",
    "kind": "arxiv",
    "version": 1
  }
}