Pith Number

pith:OYWEKOVU

pith:2024:OYWEKOVUKDJI4JBMVNLKOY3WZ2

not attested not anchored not stored refs pending

Asymptotics of Spectral Functions of Lower Energy Forms on Weakly 1-Complete Manifolds

Guokuan Shao, Wenxuan Wang, Xiquan Peng

arxiv:2404.11908 v2 · 2024-04-18 · math.CV · 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{OYWEKOVUKDJI4JBMVNLKOY3WZ2}

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	2026-07-05T08:40:16.723290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

762c453ab450d28e242cab56a76376ce99c8071850f6e95ae58fe212f05f82f5

Aliases

arxiv: 2404.11908 · arxiv_version: 2404.11908v2 · doi: 10.48550/arxiv.2404.11908 · pith_short_12: OYWEKOVUKDJI · pith_short_16: OYWEKOVUKDJI4JBM · pith_short_8: OYWEKOVU

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/OYWEKOVUKDJI4JBMVNLKOY3WZ2 \
  | 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: 762c453ab450d28e242cab56a76376ce99c8071850f6e95ae58fe212f05f82f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20be7ceadbc845dd38c0cb9e3c1d3bf7160f864b6a6ab5e5d6292fc0604c37e3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2024-04-18T05:17:23Z",
    "title_canon_sha256": "708c3eaaf382f8033e9e5dab45f275a52823d446d77ffd14ae3810bb2825d1ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.11908",
    "kind": "arxiv",
    "version": 2
  }
}