Pith Number

pith:KL2OKYN2

pith:2013:KL2OKYN272WRAMWFTW3ERKQB6B

not attested not anchored not stored refs pending

Quantized slow blow up dynamics for the corotational energy critical harmonic heat flow

Pierre Raphael, Remi Schweyer

arxiv:1301.1859 v1 · 2013-01-09 · 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{KL2OKYN272WRAMWFTW3ERKQB6B}

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	2026-05-18T01:22:25.834453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52f4e561bafead1032c59db648aa01f042c81c71c8bcebefd0a9d40190dc3533

Aliases

arxiv: 1301.1859 · arxiv_version: 1301.1859v1 · doi: 10.48550/arxiv.1301.1859 · pith_short_12: KL2OKYN272WR · pith_short_16: KL2OKYN272WRAMWF · pith_short_8: KL2OKYN2

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/KL2OKYN272WRAMWFTW3ERKQB6B \
  | 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: 52f4e561bafead1032c59db648aa01f042c81c71c8bcebefd0a9d40190dc3533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b627a392d618c3e2c8c721b216509f27475bb618dbeeac479a1f126b4ee64caa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-09T14:04:33Z",
    "title_canon_sha256": "b9d41b63862c6923fd5add73ca56d6f48e5e3825d61b3d01899c3c6e59e0e674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1859",
    "kind": "arxiv",
    "version": 1
  }
}