Pith Number

pith:UKWM6GPS

pith:2025:UKWM6GPSFBHPHFJUWECDD4NQMF

not attested not anchored not stored refs pending

Examples of entire zero-mean curvature graphs of mixed-type in Lorentz-Minkowski space via Konderak's formulas

Masaaki Umehara, Takeki Komatsu

arxiv:2505.21869 v1 · 2025-05-28 · 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{UKWM6GPSFBHPHFJUWECDD4NQMF}

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	2026-07-05T11:11:05.111813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2accf19f2284ef39534b10431f1b0617a146c90cb3ea6dc6fa27c847e268bbc

Aliases

arxiv: 2505.21869 · arxiv_version: 2505.21869v1 · doi: 10.48550/arxiv.2505.21869 · pith_short_12: UKWM6GPSFBHP · pith_short_16: UKWM6GPSFBHPHFJU · pith_short_8: UKWM6GPS

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/UKWM6GPSFBHPHFJUWECDD4NQMF \
  | 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: a2accf19f2284ef39534b10431f1b0617a146c90cb3ea6dc6fa27c847e268bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae89c8c0740aa07fb6f18dc1310d7c9b67f017da62a4517f7236c6431a45acb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-28T01:33:38Z",
    "title_canon_sha256": "b54f6aef211280e5bb871965c519013148bc690ae44e4160d1a7564d530d5d3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21869",
    "kind": "arxiv",
    "version": 1
  }
}