Pith Number

pith:MFAPD3TJ

pith:2010:MFAPD3TJABNCYCBWGWBIVLACD7

not attested not anchored not stored refs pending

Surfaces with parallel mean curvature in $\mathbb{C}P^n\times\mathbb{R}$ and $\mathbb{C}H^n\times\mathbb{R}$

Dorel Fetcu, Harold Rosenberg

arxiv:1011.4647 v1 · 2010-11-21 · 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{MFAPD3TJABNCYCBWGWBIVLACD7}

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	2026-05-18T04:35:04.245853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6140f1ee69005a2c083635828aac021ffe391d8745ea23095333af89b53dabd7

Aliases

arxiv: 1011.4647 · arxiv_version: 1011.4647v1 · doi: 10.48550/arxiv.1011.4647 · pith_short_12: MFAPD3TJABNC · pith_short_16: MFAPD3TJABNCYCBW · pith_short_8: MFAPD3TJ

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/MFAPD3TJABNCYCBWGWBIVLACD7 \
  | 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: 6140f1ee69005a2c083635828aac021ffe391d8745ea23095333af89b53dabd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc8f4f134346d20fe0272d72e1dce3dabecbb815dc302c2d7569757bb8f3807",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-21T10:08:25Z",
    "title_canon_sha256": "ddc42564ef2ff258cfc85404e8ee1102c89103b473d37b8d2607e3ce1188a7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4647",
    "kind": "arxiv",
    "version": 1
  }
}