Pith Number

pith:G2PZ4DGN

pith:2017:G2PZ4DGNGRRDF4YD36LZQJXQJ4

not attested not anchored not stored refs pending

Stable type II blowup for the 7 dimensional 1-corotational energy supercritical harmonic map heat flow

Tej-Eddine Ghoul

arxiv:1710.09293 v2 · 2017-10-24 · 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{G2PZ4DGNGRRDF4YD36LZQJXQJ4}

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	2026-05-18T00:31:50.135309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

369f9e0ccd346232f303df979826f04f3b4c0ad8634206b96e47f541d950fefa

Aliases

arxiv: 1710.09293 · arxiv_version: 1710.09293v2 · doi: 10.48550/arxiv.1710.09293 · pith_short_12: G2PZ4DGNGRRD · pith_short_16: G2PZ4DGNGRRDF4YD · pith_short_8: G2PZ4DGN

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/G2PZ4DGNGRRDF4YD36LZQJXQJ4 \
  | 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: 369f9e0ccd346232f303df979826f04f3b4c0ad8634206b96e47f541d950fefa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e1a1b5f9dbf1ac57b07f2ba33194809704be7cf741d23ed5215328d2987e18d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-24T17:47:24Z",
    "title_canon_sha256": "7b41512fe44dccaf4caefbd486f39ec8e7c087dd546b02e082480d2e9355ffe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09293",
    "kind": "arxiv",
    "version": 2
  }
}