Pith Number

pith:CMZZLMWU

pith:2016:CMZZLMWUEVWKNSJJO5X7IQ4FNY

not attested not anchored not stored refs pending

Explicit Solving of the System of Natural PDE's of Minimal Surfaces in the Four-Dimensional Euclidean Space

Georgi Ganchev, Krasimir Kanchev

arxiv:1609.01169 v1 · 2016-09-05 · 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{CMZZLMWUEVWKNSJJO5X7IQ4FNY}

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	2026-05-18T01:06:18.840456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133395b2d4256ca6c929776ff443856e199fad4d0c50cd5ab33242433c98fe5c

Aliases

arxiv: 1609.01169 · arxiv_version: 1609.01169v1 · doi: 10.48550/arxiv.1609.01169 · pith_short_12: CMZZLMWUEVWK · pith_short_16: CMZZLMWUEVWKNSJJ · pith_short_8: CMZZLMWU

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/CMZZLMWUEVWKNSJJO5X7IQ4FNY \
  | 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: 133395b2d4256ca6c929776ff443856e199fad4d0c50cd5ab33242433c98fe5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5c2148c9ef21b6ab16810744434e96c28906882d775c5c6ee595122f7aee34c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-05T14:07:48Z",
    "title_canon_sha256": "d52eebfd8daa8939c64e6e344e6b100cb4b09190860a2420e9dc237c04992e38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01169",
    "kind": "arxiv",
    "version": 1
  }
}