Pith Number

pith:P2IQ7LR7

pith:2015:P2IQ7LR7LZ4TGSFUYDHZF34BAW

not attested not anchored not stored refs pending

Classification of minimal mass blow-up solutions for an $L^2$ critical inhomogeneous NLS

Fran\c{c}ois Genoud, Vianney Combet

arxiv:1503.08915 v1 · 2015-03-31 · 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{P2IQ7LR7LZ4TGSFUYDHZF34BAW}

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	2026-05-18T02:19:51.864066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e910fae3f5e793348b4c0cf92ef8105b45b3b24c332113db99e73909d64e2ea

Aliases

arxiv: 1503.08915 · arxiv_version: 1503.08915v1 · doi: 10.48550/arxiv.1503.08915 · pith_short_12: P2IQ7LR7LZ4T · pith_short_16: P2IQ7LR7LZ4TGSFU · pith_short_8: P2IQ7LR7

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/P2IQ7LR7LZ4TGSFUYDHZF34BAW \
  | 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: 7e910fae3f5e793348b4c0cf92ef8105b45b3b24c332113db99e73909d64e2ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a20af4dd85113e0fe705660bdad9ea1364bcd83bf45ce96f6cb6ee7ffd97c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-31T04:55:51Z",
    "title_canon_sha256": "e550f22571bfa6a90223196ac8e028f50474024210bd4bab6d728b4d2e170053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08915",
    "kind": "arxiv",
    "version": 1
  }
}