Pith Number

pith:TFI2CKIH

pith:2010:TFI2CKIH4AKZRVWIUNE7VLMVYR

not attested not anchored not stored refs pending

The Bergman kernel of a certain Hartogs domain and the polylogarithm function

Atsushi Yamamori

arxiv:1008.5339 v1 · 2010-08-31 · 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{TFI2CKIH4AKZRVWIUNE7VLMVYR}

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	2026-05-18T04:41:36.136749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9951a12907e01598d6c8a349faad95c4678a429658b5eeefa571086e04e419f7

Aliases

arxiv: 1008.5339 · arxiv_version: 1008.5339v1 · doi: 10.48550/arxiv.1008.5339 · pith_short_12: TFI2CKIH4AKZ · pith_short_16: TFI2CKIH4AKZRVWI · pith_short_8: TFI2CKIH

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/TFI2CKIH4AKZRVWIUNE7VLMVYR \
  | 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: 9951a12907e01598d6c8a349faad95c4678a429658b5eeefa571086e04e419f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d5038ccbe25b6d65decbee2987cb076a4d92fe0d3c5fd20067f851290cf0f1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-08-31T14:56:34Z",
    "title_canon_sha256": "fe4e9e60350d7ddbeb8eafa7cea8dc96f2a2937007565dcf17088f4777071dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5339",
    "kind": "arxiv",
    "version": 1
  }
}