Pith Number

pith:AAPHDO5R

pith:2013:AAPHDO5RO7ZFRZCA6NAMNABNRL

not attested not anchored not stored refs pending

Bessel Functions, Heat Kernel and the Conical K\"ahler-Ricci Flow

Xiuxiong Chen, Yuanqi Wang

arxiv:1305.0255 v1 · 2013-05-01 · 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{AAPHDO5RO7ZFRZCA6NAMNABNRL}

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	2026-05-18T03:26:41.501692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

001e71bbb177f258e440f340c6802d8ad9ab87582efbfe111a6345bc8dd2a691

Aliases

arxiv: 1305.0255 · arxiv_version: 1305.0255v1 · doi: 10.48550/arxiv.1305.0255 · pith_short_12: AAPHDO5RO7ZF · pith_short_16: AAPHDO5RO7ZFRZCA · pith_short_8: AAPHDO5R

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/AAPHDO5RO7ZFRZCA6NAMNABNRL \
  | 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: 001e71bbb177f258e440f340c6802d8ad9ab87582efbfe111a6345bc8dd2a691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f43e2b79544dcff882921686bc9fe201781b9bd865e2a07157d565766bf7b89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-01T19:42:14Z",
    "title_canon_sha256": "5b1752683a5ae48fa9478d66421e300620c7ae06ff19766bf42a9e0a5b2bfd73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0255",
    "kind": "arxiv",
    "version": 1
  }
}