Pith Number

pith:EVT3CWMF

pith:2013:EVT3CWMFHOVD7QGFYUADZCKKDZ

not attested not anchored not stored refs pending

A converse to linear independence criteria, valid almost everywhere

Jason Levesley, Mumtaz Hussain, Simon Kristensen, St\'ephane Fischler (LM-Orsay)

arxiv:1302.1952 v1 · 2013-02-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVT3CWMFHOVD7QGFYUADZCKKDZ}

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	2026-05-18T03:34:13.183975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2567b159853baa3fc0c5c5003c894a1e4be1b7e9615a6999d7284bf34f2f9646

Aliases

arxiv: 1302.1952 · arxiv_version: 1302.1952v1 · doi: 10.48550/arxiv.1302.1952 · pith_short_12: EVT3CWMFHOVD · pith_short_16: EVT3CWMFHOVD7QGF · pith_short_8: EVT3CWMF

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/EVT3CWMFHOVD7QGFYUADZCKKDZ \
  | 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: 2567b159853baa3fc0c5c5003c894a1e4be1b7e9615a6999d7284bf34f2f9646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "583e9a8d45acc0cff32ad57bd4c1ddee2c6285139802439a2f354da53ee211ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-08T06:39:23Z",
    "title_canon_sha256": "a69802b4acaa2741f521823a01fb5cba154fb803e78e17726b6603449906387a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1952",
    "kind": "arxiv",
    "version": 1
  }
}