Pith Number

pith:5MLBPF7O

pith:2014:5MLBPF7OIP7AEU4V3ZSAKEHW7G

not attested not anchored not stored refs pending

On $(p,r)$-null sequences and their relatives

Eve Oja, Kati Ain

arxiv:1409.6476 v1 · 2014-09-23 · 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{5MLBPF7OIP7AEU4V3ZSAKEHW7G}

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	2026-05-18T02:42:07.065530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb161797ee43fe025395de640510f6f9aaff79a95bad027e51c597f235018de9

Aliases

arxiv: 1409.6476 · arxiv_version: 1409.6476v1 · doi: 10.48550/arxiv.1409.6476 · pith_short_12: 5MLBPF7OIP7A · pith_short_16: 5MLBPF7OIP7AEU4V · pith_short_8: 5MLBPF7O

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/5MLBPF7OIP7AEU4V3ZSAKEHW7G \
  | 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: eb161797ee43fe025395de640510f6f9aaff79a95bad027e51c597f235018de9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7022fb5ca63303238209eb5dd0abc57b0d22587eda3449e03ebe12031db314",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-23T10:39:23Z",
    "title_canon_sha256": "348d5863de851e69bbf603d6092cb4f4ba208ab607f83242c3f8984b6492609d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6476",
    "kind": "arxiv",
    "version": 1
  }
}