Pith Number

pith:TGGD7ZMR

pith:2013:TGGD7ZMRV3TMP5YYQNGP2WUFVS

not attested not anchored not stored refs pending

On the Lorentzian minimal surfaces in $\mathbb E^4_1$ with finite type Gauss map

Nurettin Cenk Turgay

arxiv:1311.1961 v1 · 2013-11-07 · 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{TGGD7ZMRV3TMP5YYQNGP2WUFVS}

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	2026-05-18T03:07:41.863831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998c3fe591aee6c7f718834cfd5a85acb19173182ec0b489d41587438cc529ed

Aliases

arxiv: 1311.1961 · arxiv_version: 1311.1961v1 · doi: 10.48550/arxiv.1311.1961 · pith_short_12: TGGD7ZMRV3TM · pith_short_16: TGGD7ZMRV3TMP5YY · pith_short_8: TGGD7ZMR

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/TGGD7ZMRV3TMP5YYQNGP2WUFVS \
  | 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: 998c3fe591aee6c7f718834cfd5a85acb19173182ec0b489d41587438cc529ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407dd742a8bb926563e48df089ccdde0990551d6f62572d6c5d6c9531ced7123",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-07T11:11:35Z",
    "title_canon_sha256": "179726a23dbb97519020e5bd0fb25bd4650309d2b4b37b6c26199841f98b9b5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1961",
    "kind": "arxiv",
    "version": 1
  }
}