Pith Number

pith:7B4OGORV

pith:2016:7B4OGORVDPPHCLBUBHS3PHZUNL

not attested not anchored not stored refs pending

On the stability of type II blowup for the 1-corotational energy supercritical harmonic heat flow

Slim Ibrahim, Tej-Eddine Ghoul, Van Tien Nguyen

arxiv:1611.08877 v3 · 2016-11-27 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7B4OGORVDPPHCLBUBHS3PHZUNL}

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	2026-05-18T00:08:11.506890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f878e33a351bde712c3409e5b79f346afcd68873cba319bdadc1cc367effb69c

Aliases

arxiv: 1611.08877 · arxiv_version: 1611.08877v3 · doi: 10.48550/arxiv.1611.08877 · pith_short_12: 7B4OGORVDPPH · pith_short_16: 7B4OGORVDPPHCLBU · pith_short_8: 7B4OGORV

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/7B4OGORVDPPHCLBUBHS3PHZUNL \
  | 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: f878e33a351bde712c3409e5b79f346afcd68873cba319bdadc1cc367effb69c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "908db4c1027a24d35de8701c2bc890d0f90a73e7952a75202dd5f124ae0992f5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-27T17:30:38Z",
    "title_canon_sha256": "bc61d9b6e6c8fc1569a7d296a26f49579f38c2b8cc24401f4baba944f01e7fab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08877",
    "kind": "arxiv",
    "version": 3
  }
}