Pith Number

pith:YL2BFSUN

pith:2013:YL2BFSUNWD3AT3SUTEEPLVBZ7U

not attested not anchored not stored refs pending

Constant Mean Curvature Foliations of $3$-Dimensional Twisted Product Spacetimes

Alexander Dirmeier

arxiv:1401.0143 v1 · 2013-12-31 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YL2BFSUNWD3AT3SUTEEPLVBZ7U}

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	2026-05-18T03:03:30.910851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f412ca8db0f609ee549908f5d439fd3178668f2010251f3a80897df5524d80

Aliases

arxiv: 1401.0143 · arxiv_version: 1401.0143v1 · doi: 10.48550/arxiv.1401.0143 · pith_short_12: YL2BFSUNWD3A · pith_short_16: YL2BFSUNWD3AT3SU · pith_short_8: YL2BFSUN

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/YL2BFSUNWD3AT3SUTEEPLVBZ7U \
  | 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: c2f412ca8db0f609ee549908f5d439fd3178668f2010251f3a80897df5524d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fd25595fad617c076a4bd2c216ce237c076a2f70f8d6a8f651350595b39028f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-31T13:24:41Z",
    "title_canon_sha256": "de843ffc55b97ce7d464431473709e7a03c13b682ef12320110a150053d1b5c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0143",
    "kind": "arxiv",
    "version": 1
  }
}