Pith Number

pith:K4SJIWPZ

pith:2011:K4SJIWPZ26WE4XNGC5QFQWVWTY

not attested not anchored not stored refs pending

Timelike surfaces with zero mean curvature in Minkowski 4-space

Georgi Ganchev, Velichka Milousheva

arxiv:1111.4307 v1 · 2011-11-18 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4SJIWPZ26WE4XNGC5QFQWVWTY}

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	2026-05-18T03:05:28.638403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57249459f9d7ac4e5da61760585ab69e15508a8b5afcc52511d875d3e4d0fa04

Aliases

arxiv: 1111.4307 · arxiv_version: 1111.4307v1 · doi: 10.48550/arxiv.1111.4307 · pith_short_12: K4SJIWPZ26WE · pith_short_16: K4SJIWPZ26WE4XNG · pith_short_8: K4SJIWPZ

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/K4SJIWPZ26WE4XNGC5QFQWVWTY \
  | 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: 57249459f9d7ac4e5da61760585ab69e15508a8b5afcc52511d875d3e4d0fa04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "874940f78d24742c6f3ae03f8d6ab0ba0d8cf702f17a14a87872bc8b4cc4deda",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-18T09:12:46Z",
    "title_canon_sha256": "7255270a34a0a67a485f0e4af80f0110ee70539259f9c4f7f56e7732dbc17a23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4307",
    "kind": "arxiv",
    "version": 1
  }
}