Pith Number

pith:BLYPL3H6

pith:2013:BLYPL3H62KTCGPS3OAYQWFPZ76

not attested not anchored not stored refs pending

Indices of inseparability and refined ramification breaks

Kevin Keating

arxiv:1306.5422 v2 · 2013-06-23 · 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{BLYPL3H62KTCGPS3OAYQWFPZ76}

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	2026-05-18T02:54:47.001063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0af0f5ecfed2a6233e5b70310b15f9ffa4d26a5bdfc7eb5bece4aecbabf1789d

Aliases

arxiv: 1306.5422 · arxiv_version: 1306.5422v2 · doi: 10.48550/arxiv.1306.5422 · pith_short_12: BLYPL3H62KTC · pith_short_16: BLYPL3H62KTCGPS3 · pith_short_8: BLYPL3H6

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/BLYPL3H62KTCGPS3OAYQWFPZ76 \
  | 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: 0af0f5ecfed2a6233e5b70310b15f9ffa4d26a5bdfc7eb5bece4aecbabf1789d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8538cda756f827e9b236925760059ac6fea19d19ffeb60cc6a748977dbda321d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-23T15:06:46Z",
    "title_canon_sha256": "2afef48a2b8ec6e45715233167cc9fbb089f2060144a30f5cdaebf2bfd1c3b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5422",
    "kind": "arxiv",
    "version": 2
  }
}