Pith Number

pith:GT5CWQXE

pith:2013:GT5CWQXEETGRHVEVZG7UCWJTAS

not attested not anchored not stored refs pending

Range of density measures

Martin Sleziak, Milo\v{s} Ziman

arxiv:1305.7213 v1 · 2013-05-30 · math.NT · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GT5CWQXEETGRHVEVZG7UCWJTAS}

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	2026-05-18T03:22:08.387128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34fa2b42e424cd13d495c9bf41593304bbd09d43eb32f62fec0a8c36859a5eeb

Aliases

arxiv: 1305.7213 · arxiv_version: 1305.7213v1 · doi: 10.48550/arxiv.1305.7213 · pith_short_12: GT5CWQXEETGR · pith_short_16: GT5CWQXEETGRHVEV · pith_short_8: GT5CWQXE

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/GT5CWQXEETGRHVEVZG7UCWJTAS \
  | 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: 34fa2b42e424cd13d495c9bf41593304bbd09d43eb32f62fec0a8c36859a5eeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18f78163416a7fe5114fe77aab0b4ae7acd0a31ca2d22a07d46ed9bbec6a1f77",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-30T19:30:22Z",
    "title_canon_sha256": "1e650530e24bacbe55e04565772a10af6d9e5b132560f4bf8b2fc7374e359565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7213",
    "kind": "arxiv",
    "version": 1
  }
}