Pith Number

pith:WQPT3WL6

pith:2006:WQPT3WL6TIMM6DYT6ZNNQKU5GJ

not attested not anchored not stored refs pending

Monotonicity properties of blow-up time for nonlinear Schr\"{o}dinger equation: numerical tests

Christophe Besse (LPP, Hans-Peter Stimming (ICP), INRIA Futurs), Norbert Mauser (ICP), R\'emi Carles (MAB)

arxiv:math/0603107 v2 · 2006-03-04 · math.AP · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQPT3WL6TIMM6DYT6ZNNQKU5GJ}

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	2026-05-18T01:08:50.475110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41f3dd97e9a18cf0f13f65ad82a9d3263988deb25c8a231607f1b9f7da75952

Aliases

arxiv: math/0603107 · arxiv_version: math/0603107v2 · doi: 10.48550/arxiv.math/0603107 · pith_short_12: WQPT3WL6TIMM · pith_short_16: WQPT3WL6TIMM6DYT · pith_short_8: WQPT3WL6

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/WQPT3WL6TIMM6DYT6ZNNQKU5GJ \
  | 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: b41f3dd97e9a18cf0f13f65ad82a9d3263988deb25c8a231607f1b9f7da75952

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ceda605ead41a766fc67bcc7fe1958e0eb8f98964029fefef5f8b8238917d6",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-03-04T08:09:18Z",
    "title_canon_sha256": "2421dec1462b63de680bc3b70aef6698200070d31c5b79cd792ad74960f3a49b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603107",
    "kind": "arxiv",
    "version": 2
  }
}