Pith Number

pith:ZBUL5TCS

pith:2010:ZBUL5TCSHTLGHKG244UZTMHXGF

not attested not anchored not stored refs pending

Rigidity for local holomorphic isometric embeddings from ${\BB}^n$ into ${\BB}^{N_1}\times... \times{\BB}^{N_m}$ up to conformal factors

Yuan Yuan, Yuan Zhang

arxiv:1001.2941 v2 · 2010-01-18 · 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{ZBUL5TCSHTLGHKG244UZTMHXGF}

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	2026-05-18T04:08:12.735248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c868becc523cd663a8dae72999b0f7316e96e45c937255b2d2fd99beac90d700

Aliases

arxiv: 1001.2941 · arxiv_version: 1001.2941v2 · doi: 10.48550/arxiv.1001.2941 · pith_short_12: ZBUL5TCSHTLG · pith_short_16: ZBUL5TCSHTLGHKG2 · pith_short_8: ZBUL5TCS

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/ZBUL5TCSHTLGHKG244UZTMHXGF \
  | 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: c868becc523cd663a8dae72999b0f7316e96e45c937255b2d2fd99beac90d700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86dbdeb0d5050e8a0784910316fca783c41a107450577b66f75e2b3a4cc49408",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-01-18T02:26:41Z",
    "title_canon_sha256": "95b1dce5a7e5841fab52bbad7cf2f027e9b5ae597b4aa0aa41e123e5297106d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2941",
    "kind": "arxiv",
    "version": 2
  }
}