Pith Number

pith:7X6FPVBE

pith:2019:7X6FPVBET7FGUPOWTRJXBZTQGR

not attested not anchored not stored refs pending

Biharmonic Hermitian vector bundles over compact Kaehlar Einstein manifolds

Hajime Urakawa

arxiv:1905.08923 v1 · 2019-05-22 · 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{7X6FPVBET7FGUPOWTRJXBZTQGR}

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	2026-05-17T23:45:24.858223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdfc57d4249fca6a3dd69c5370e670347668df2b90ab13da6d46b1d878117732

Aliases

arxiv: 1905.08923 · arxiv_version: 1905.08923v1 · doi: 10.48550/arxiv.1905.08923 · pith_short_12: 7X6FPVBET7FG · pith_short_16: 7X6FPVBET7FGUPOW · pith_short_8: 7X6FPVBE

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/7X6FPVBET7FGUPOWTRJXBZTQGR \
  | 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: fdfc57d4249fca6a3dd69c5370e670347668df2b90ab13da6d46b1d878117732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec1cb579bb8dee0ad21ffa871efaed179e7fb3d2079a23b1c12eaa7d21c57966",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-05-22T02:09:16Z",
    "title_canon_sha256": "9c23360e01acbf3adb5d4f25e89a96c3e9cec36701df7c6cf7485a7582ae784a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08923",
    "kind": "arxiv",
    "version": 1
  }
}