Pith Number

pith:BTJHRRTT

pith:2016:BTJHRRTTXJV4B3T7CGZ2EKCYJK

not attested not anchored not stored refs pending

The $L^{2}$ weak sequential convergence of radial mass critical NLS solutions with mass above the ground state

Chenjie Fan

arxiv:1607.04194 v1 · 2016-07-14 · 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{BTJHRRTTXJV4B3T7CGZ2EKCYJK}

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	2026-05-18T01:11:03.923970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cd278c673ba6bc0ee7f11b3a228584ab5d6fa0bdedb25cde5880e30b4352eaa

Aliases

arxiv: 1607.04194 · arxiv_version: 1607.04194v1 · doi: 10.48550/arxiv.1607.04194 · pith_short_12: BTJHRRTTXJV4 · pith_short_16: BTJHRRTTXJV4B3T7 · pith_short_8: BTJHRRTT

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/BTJHRRTTXJV4B3T7CGZ2EKCYJK \
  | 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: 0cd278c673ba6bc0ee7f11b3a228584ab5d6fa0bdedb25cde5880e30b4352eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c75851c54e47b8a7f92f70d4277e2aa082c6acc0e2664b54baf58a4a0560b5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-14T16:30:23Z",
    "title_canon_sha256": "4b2d3c6431b5089b836dfe4df790220f9fe9cd2bcadc6c7c0af6584ae83958b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04194",
    "kind": "arxiv",
    "version": 1
  }
}