Pith Number

pith:USKJ3PDD

pith:2025:USKJ3PDDZJX3ILT4YOG7WDQRV6

not attested not anchored not stored refs pending

Finite-time self-similar implosion of hollow vortices

Miles H. Wheeler, Robin Ming Chen, Samuel Walsh

arxiv:2506.04093 v1 · 2025-06-04 · 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{USKJ3PDDZJX3ILT4YOG7WDQRV6}

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	2026-07-05T11:15:56.828999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4949dbc63ca6fb42e7cc38dfb0e11afac3ca766f13ba894cd6845d0d8987a45

Aliases

arxiv: 2506.04093 · arxiv_version: 2506.04093v1 · doi: 10.48550/arxiv.2506.04093 · pith_short_12: USKJ3PDDZJX3 · pith_short_16: USKJ3PDDZJX3ILT4 · pith_short_8: USKJ3PDD

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/USKJ3PDDZJX3ILT4YOG7WDQRV6 \
  | 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: a4949dbc63ca6fb42e7cc38dfb0e11afac3ca766f13ba894cd6845d0d8987a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6890c4b9ecab57c5595f89ea62bbedef55cc56cc894152513998f8930cfe41ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-04T15:51:04Z",
    "title_canon_sha256": "ad3a5ccd6b1458e90dd9b6a6b7d1b004492f00fede6d751a707cf816364bfe76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04093",
    "kind": "arxiv",
    "version": 1
  }
}