Pith Number

pith:6GHONHO6

pith:2013:6GHONHO625UHSPYPV4VTM6ZCU4

not attested not anchored not stored refs pending

Lower bound for the rate of blow-up of singular solutions of the Zakharov system in $\R^3$

C. Sulem, J. Colliander, M. Czubak

arxiv:1305.0324 v1 · 2013-05-02 · 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{6GHONHO625UHSPYPV4VTM6ZCU4}

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	2026-05-18T03:26:40.574683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f18ee69dded768793f0faf2b367b22a71f5cf03cb732aeb626a9227f6c7d6a84

Aliases

arxiv: 1305.0324 · arxiv_version: 1305.0324v1 · doi: 10.48550/arxiv.1305.0324 · pith_short_12: 6GHONHO625UH · pith_short_16: 6GHONHO625UHSPYP · pith_short_8: 6GHONHO6

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/6GHONHO625UHSPYPV4VTM6ZCU4 \
  | 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: f18ee69dded768793f0faf2b367b22a71f5cf03cb732aeb626a9227f6c7d6a84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b55c1b6e9cecda96b04440820336c4d64ff31034a5134e63e6ec3ce4b42458de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-02T01:33:48Z",
    "title_canon_sha256": "8006b9971d5fbef095f0383552647a870e47852c2756a181c076b3037c43c881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0324",
    "kind": "arxiv",
    "version": 1
  }
}