Pith Number

pith:5DYT3LAY

pith:2014:5DYT3LAYFTKFS4CQQANP3QBK53

not attested not anchored not stored refs pending

On the Density of Coprime m-tuples over Holomorphy Rings

Giacomo Micheli, Reto Schnyder

arxiv:1411.6876 v2 · 2014-11-25 · 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{5DYT3LAYFTKFS4CQQANP3QBK53}

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	2026-05-17T23:54:17.168369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f13dac182cd4597050801afdc02aeef08363a499cd7fc249b4be3bc0cf8a68

Aliases

arxiv: 1411.6876 · arxiv_version: 1411.6876v2 · doi: 10.48550/arxiv.1411.6876 · pith_short_12: 5DYT3LAYFTKF · pith_short_16: 5DYT3LAYFTKFS4CQ · pith_short_8: 5DYT3LAY

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/5DYT3LAYFTKFS4CQQANP3QBK53 \
  | 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: e8f13dac182cd4597050801afdc02aeef08363a499cd7fc249b4be3bc0cf8a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f319d2ea2e5823f0fa88deffb04a2f39c18f5fdde99bd11df494b40c4d445a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-25T14:22:05Z",
    "title_canon_sha256": "f5ed68f4b4bb2692af783e0e9cf422fb6746b1de918a1ecc348b6b4760f8e25e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6876",
    "kind": "arxiv",
    "version": 2
  }
}