Pith Number

pith:34P4BKVX

pith:2013:34P4BKVXP2YPSLIZBRNWFA4MSP

not attested not anchored not stored refs pending

Computing nullity and kernel vectors using NF-package: Counterexamples

Nabil L. Youssef, S. G. Elgendi

arxiv:1401.0133 v2 · 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{34P4BKVXP2YPSLIZBRNWFA4MSP}

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	2026-05-18T01:01:42.580130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df1fc0aab77eb0f92d190c5b62838c93cbf5e6dc6970944080740cfe177a0bf5

Aliases

arxiv: 1401.0133 · arxiv_version: 1401.0133v2 · doi: 10.48550/arxiv.1401.0133 · pith_short_12: 34P4BKVXP2YP · pith_short_16: 34P4BKVXP2YPSLIZ · pith_short_8: 34P4BKVX

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/34P4BKVXP2YPSLIZBRNWFA4MSP \
  | 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: df1fc0aab77eb0f92d190c5b62838c93cbf5e6dc6970944080740cfe177a0bf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f9a2f6808aaaa093c0c5163e86f407b1856a9d5f3ad8b274c384494fdab298",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-31T11:36:44Z",
    "title_canon_sha256": "b0eb8db3b370a8e4734ea5797622a61bbcfb63bcbf3b9f465b1d4d4a737dc955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0133",
    "kind": "arxiv",
    "version": 2
  }
}