Pith Number

pith:KZN3KFF4

pith:2025:KZN3KFF4DUJHPMW6YN7G6GLM7U

not attested not anchored not stored refs pending

Sp(2)-invariant expanders and shrinkers in Laplacian flow

Johannes Nordstr\"om, Mark Haskins, Rowan Juneman

arxiv:2501.05437 v2 · 2025-01-09 · 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{KZN3KFF4DUJHPMW6YN7G6GLM7U}

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.

Cited by

2 papers in Pith

On the structure of complete $G_2$-solitons

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian

Receipt and verification

First computed	2026-07-05T10:52:18.151840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

565bb514bc1d1277b2dec37e6f196cfd260f9a3b9ee8b4b267887d1e33cd192e

Aliases

arxiv: 2501.05437 · arxiv_version: 2501.05437v2 · doi: 10.48550/arxiv.2501.05437 · pith_short_12: KZN3KFF4DUJH · pith_short_16: KZN3KFF4DUJHPMW6 · pith_short_8: KZN3KFF4

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/KZN3KFF4DUJHPMW6YN7G6GLM7U \
  | 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: 565bb514bc1d1277b2dec37e6f196cfd260f9a3b9ee8b4b267887d1e33cd192e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "673ac0a02a405539908966e9d505ec2a47964bd575c61597bb300abd6673bbea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-01-09T18:49:22Z",
    "title_canon_sha256": "02102d16fd7f34f87e1fa8438efb0b20ccc204d7e9e669f1d27303a0a6ed10c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.05437",
    "kind": "arxiv",
    "version": 2
  }
}