Pith Number

pith:YJUJDGDZ

pith:2022:YJUJDGDZHDVRYLO6YOTHWD2Q5H

not attested not anchored not stored refs pending

Spectral quantization for ancient asymptotically cylindrical flows

Jingze Zhu, Wenkui Du

arxiv:2211.02595 v1 · 2022-11-04 · 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{YJUJDGDZHDVRYLO6YOTHWD2Q5H}

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	2026-07-05T05:13:16.999753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c26891987938eb1c2ddec3a67b0f50e9d4533714909492df79ef68e6094219d4

Aliases

arxiv: 2211.02595 · arxiv_version: 2211.02595v1 · doi: 10.48550/arxiv.2211.02595 · pith_short_12: YJUJDGDZHDVR · pith_short_16: YJUJDGDZHDVRYLO6 · pith_short_8: YJUJDGDZ

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/YJUJDGDZHDVRYLO6YOTHWD2Q5H \
  | 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: c26891987938eb1c2ddec3a67b0f50e9d4533714909492df79ef68e6094219d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac48bccc8ef46718b256d02f1d9225a82020daa29e5001429800478cddc7a0a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-11-04T17:11:00Z",
    "title_canon_sha256": "1187b7a8130bff4f4add63d8347a6d218fa92f4c276b3b1e193fc36218200d67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.02595",
    "kind": "arxiv",
    "version": 1
  }
}