Pith Number

pith:ERST6BBN

pith:2007:ERST6BBNKCWTBYZMKVSFMAF3L3

not attested not anchored not stored refs pending

On the blow-up threshold for weakly coupled nonlinear Schroedinger equations

Eugenio Montefusco, Luca Fanelli

arxiv:0705.0491 v1 · 2007-05-03 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ERST6BBNKCWTBYZMKVSFMAF3L3}

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	2026-05-18T01:18:28.544958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24653f042d50ad30e32c55645600bb5edd958e1273c4bb017f07e3e148335321

Aliases

arxiv: 0705.0491 · arxiv_version: 0705.0491v1 · doi: 10.48550/arxiv.0705.0491 · pith_short_12: ERST6BBNKCWT · pith_short_16: ERST6BBNKCWTBYZM · pith_short_8: ERST6BBN

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/ERST6BBNKCWTBYZMKVSFMAF3L3 \
  | 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: 24653f042d50ad30e32c55645600bb5edd958e1273c4bb017f07e3e148335321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5630c6f9615d7f899748e5207e3a6011a2ca910f8060a7c010bd41bd7cea2052",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-05-03T15:57:45Z",
    "title_canon_sha256": "f1a7492a080780c61d8875cb8ea58cd2881915969571df3719bc39e17fa75692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0491",
    "kind": "arxiv",
    "version": 1
  }
}