Pith Number

pith:WUCII5V6

pith:2011:WUCII5V6D77K636LKFTHCQ4DIP

not attested not anchored not stored refs pending

Time-like Weingarten surfaces with real principal curvatures in the three-dimensional Minkowski space and their natural partial differential equations

Georgi Ganchev, Vesselka Mihova

arxiv:1105.3652 v2 · 2011-05-18 · 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{WUCII5V6D77K636LKFTHCQ4DIP}

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	2026-05-18T02:33:07.959429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5048476be1ffeaf6fcb516671438343f0f424babe5cb82324eab25ffc25ebc7

Aliases

arxiv: 1105.3652 · arxiv_version: 1105.3652v2 · doi: 10.48550/arxiv.1105.3652 · pith_short_12: WUCII5V6D77K · pith_short_16: WUCII5V6D77K636L · pith_short_8: WUCII5V6

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/WUCII5V6D77K636LKFTHCQ4DIP \
  | 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: b5048476be1ffeaf6fcb516671438343f0f424babe5cb82324eab25ffc25ebc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0836f00699dc9001c6390ad732c68db29074f3764d7f9f7c235ce4ef947a7a14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-18T14:45:04Z",
    "title_canon_sha256": "055b10c531bd572fe5824d322415c4f291a0f592e8cbfaaf3fb33068e3d981bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3652",
    "kind": "arxiv",
    "version": 2
  }
}