Pith Number

pith:6QNLUU4K

pith:2014:6QNLUU4KAGVRRFSPOWLZLHZFQY

not attested not anchored not stored refs pending

On the equivalence of types

Enric Nart

arxiv:1409.4345 v2 · 2014-09-15 · 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{6QNLUU4KAGVRRFSPOWLZLHZFQY}

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	2026-05-18T01:36:22.960932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f41aba538a01ab18964f7597959f25863a0ed86b26bee63f1b632dec7c9ec0bb

Aliases

arxiv: 1409.4345 · arxiv_version: 1409.4345v2 · doi: 10.48550/arxiv.1409.4345 · pith_short_12: 6QNLUU4KAGVR · pith_short_16: 6QNLUU4KAGVRRFSP · pith_short_8: 6QNLUU4K

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/6QNLUU4KAGVRRFSPOWLZLHZFQY \
  | 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: f41aba538a01ab18964f7597959f25863a0ed86b26bee63f1b632dec7c9ec0bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbd878ed857cda61e6b9e3cdb6d01889464c217368a5744497598095f6bf6bf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-15T17:41:39Z",
    "title_canon_sha256": "5db776a7b412e35e7b0f28124635483d574a421483a7dafa6fa4d14c0f9f0de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4345",
    "kind": "arxiv",
    "version": 2
  }
}