Pith Number

pith:TB32B3NZ

pith:2014:TB32B3NZAM3HKGJF5RKNW5QIET

not attested not anchored not stored refs pending

Marginally trapped surfaces with pointwise 1-type Gauss map in Minkowski 4-space

Velichka Milousheva

arxiv:1410.6584 v1 · 2014-10-24 · 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{TB32B3NZAM3HKGJF5RKNW5QIET}

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	2026-05-18T02:39:24.976723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9877a0edb90336751925ec54db760824c73c01d8ee393cbe0306a731935d020a

Aliases

arxiv: 1410.6584 · arxiv_version: 1410.6584v1 · doi: 10.48550/arxiv.1410.6584 · pith_short_12: TB32B3NZAM3H · pith_short_16: TB32B3NZAM3HKGJF · pith_short_8: TB32B3NZ

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/TB32B3NZAM3HKGJF5RKNW5QIET \
  | 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: 9877a0edb90336751925ec54db760824c73c01d8ee393cbe0306a731935d020a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e098d0727c04cf923df6ef48760d4a99806064981b0761aefb46b30fa61eecbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-24T06:14:10Z",
    "title_canon_sha256": "410d2dd8d03d8ab2a22b04173218b6f55475a07293f6c5d356e60336c2eb1485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6584",
    "kind": "arxiv",
    "version": 1
  }
}