Pith Number

pith:3XFQS6MU

pith:2021:3XFQS6MUH2HQRVK4JYP2NEOCB2

not attested not anchored not stored refs pending

Hearing the shape of ancient noncollapsed flows in $\mathbb{R}^{4}$

Robert Haslhofer, Wenkui Du

arxiv:2107.04443 v1 · 2021-07-09 · math.DG · 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{3XFQS6MUH2HQRVK4JYP2NEOCB2}

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	2026-07-05T02:56:33.468688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddcb0979943e8f08d55c4e1fa691c20ebd53dc2b2e5bf4a519fbd4fa43abe313

Aliases

arxiv: 2107.04443 · arxiv_version: 2107.04443v1 · doi: 10.48550/arxiv.2107.04443 · pith_short_12: 3XFQS6MUH2HQ · pith_short_16: 3XFQS6MUH2HQRVK4 · pith_short_8: 3XFQS6MU

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/3XFQS6MUH2HQRVK4JYP2NEOCB2 \
  | 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: ddcb0979943e8f08d55c4e1fa691c20ebd53dc2b2e5bf4a519fbd4fa43abe313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c041cf0ce905497db051be23f64b268b778fb27c4ec39d815f072d0e33929d5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-07-09T13:46:45Z",
    "title_canon_sha256": "29b6ec0ae58384b8fdf22395318e83466a17c48e29a73a6ba1e3b8347612a842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04443",
    "kind": "arxiv",
    "version": 1
  }
}