Pith Number

pith:DDFZ4C2S

pith:2026:DDFZ4C2SW7A5D5CSPHQN7QDN2A

not attested not anchored not stored refs pending

Stable blowup for the harmonic map heat flow into perturbed spheres

Alexander Wittenstein

arxiv:2608.03332 v1 · 2026-08-04 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDFZ4C2SW7A5D5CSPHQN7QDN2A}

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	2026-08-05T00:46:55.344873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18cb9e0b52b7c1d1f45279e0dfc06dd013790011cc6fe367a4e0a70e88c7d530

Aliases

arxiv: 2608.03332 · arxiv_version: 2608.03332v1 · doi: 10.48550/arxiv.2608.03332 · pith_short_12: DDFZ4C2SW7A5 · pith_short_16: DDFZ4C2SW7A5D5CS · pith_short_8: DDFZ4C2S

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/DDFZ4C2SW7A5D5CSPHQN7QDN2A \
  | 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: 18cb9e0b52b7c1d1f45279e0dfc06dd013790011cc6fe367a4e0a70e88c7d530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "273454314252852399168850fbbcaf8ba54e6c23c2094140241462ca0d7f7772",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-04T08:43:02Z",
    "title_canon_sha256": "3e42b08afecb389cd3b402f79a9aa93ab71b9e79823e3ae75298ced83ec788b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03332",
    "kind": "arxiv",
    "version": 1
  }
}