Pith Number

pith:22RFCLEW

pith:2015:22RFCLEWOBTGB6TPMZYPDLKCNQ

not attested not anchored not stored refs pending

Energy concentration of the focusing energy-critical FNLS

Gyeongha Hwang, Yonggeun Cho, Yong-Sun Shim

arxiv:1502.00100 v1 · 2015-01-31 · 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{22RFCLEWOBTGB6TPMZYPDLKCNQ}

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	2026-05-18T02:28:12.774310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6a2512c96706660fa6f6670f1ad426c153c1ec051a2cafb37792f1da664b757

Aliases

arxiv: 1502.00100 · arxiv_version: 1502.00100v1 · doi: 10.48550/arxiv.1502.00100 · pith_short_12: 22RFCLEWOBTG · pith_short_16: 22RFCLEWOBTGB6TP · pith_short_8: 22RFCLEW

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/22RFCLEWOBTGB6TPMZYPDLKCNQ \
  | 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: d6a2512c96706660fa6f6670f1ad426c153c1ec051a2cafb37792f1da664b757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30fdb6f13cf81e71e111a5fd3f01c66ac0f6e7c94503e3ec4bd3c048bb8b0e76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-31T13:04:20Z",
    "title_canon_sha256": "a90667f4ef7908d93a2b39025fcaab7386fa7260bb2ec900797b6dc5cb5d11d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00100",
    "kind": "arxiv",
    "version": 1
  }
}