Pith Number

pith:U3XOUKBP

pith:2022:U3XOUKBP3QFEXAKMRNNNCZZ73R

not attested not anchored not stored refs pending

A note on $\xi-$Bergman kernels

Qi'an Guan, Shijie Bao, Zheng Yuan

arxiv:2212.01561 v2 · 2022-12-03 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3XOUKBP3QFEXAKMRNNNCZZ73R}

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	2026-07-05T11:36:17.149111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6eeea282fdc0a4b814c8b5ad1673fdc7e6a51d52d0cddfbaf2ba0f3d3a34be9

Aliases

arxiv: 2212.01561 · arxiv_version: 2212.01561v2 · doi: 10.48550/arxiv.2212.01561 · pith_short_12: U3XOUKBP3QFE · pith_short_16: U3XOUKBP3QFEXAKM · pith_short_8: U3XOUKBP

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/U3XOUKBP3QFEXAKMRNNNCZZ73R \
  | 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: a6eeea282fdc0a4b814c8b5ad1673fdc7e6a51d52d0cddfbaf2ba0f3d3a34be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a85ddbecb7b43c5036291352f055d1e69282ca7577f5d40aa2920280bc7799f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2022-12-03T07:23:54Z",
    "title_canon_sha256": "827ffded28c73f9144919f8d2cc85676270e0bf7674ea85203af304c6f8f7b74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.01561",
    "kind": "arxiv",
    "version": 2
  }
}