Pith Number

pith:B6VG3SJM

pith:2015:B6VG3SJMJZEJEAJEVOFZDW5C6V

not attested not anchored not stored refs pending

Two applications of the spectrum of numbers

Christiane Frougny, Edita Pelantov\'a

arxiv:1512.04234 v3 · 2015-12-14 · math.NT · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6VG3SJMJZEJEAJEVOFZDW5C6V}

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	2026-05-18T00:20:49.466347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0faa6dc92c4e48920124ab8b91dba2f5735a423f8a39b1533d5edadaad2cc6e1

Aliases

arxiv: 1512.04234 · arxiv_version: 1512.04234v3 · doi: 10.48550/arxiv.1512.04234 · pith_short_12: B6VG3SJMJZEJ · pith_short_16: B6VG3SJMJZEJEAJE · pith_short_8: B6VG3SJM

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/B6VG3SJMJZEJEAJEVOFZDW5C6V \
  | 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: 0faa6dc92c4e48920124ab8b91dba2f5735a423f8a39b1533d5edadaad2cc6e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71831c5960ce41f9ac2fc482c6c12ec9ed4c3b7c9c364fd0de683a2fc528912c",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-14T09:45:10Z",
    "title_canon_sha256": "c1505c9553b09b8314b2cd23b28db5c224351049cff5ef846e08c2598d08239d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04234",
    "kind": "arxiv",
    "version": 3
  }
}