Pith Number

pith:62LQVNC7

pith:2019:62LQVNC7MCZEPNFXQFAF6CZW6P

not attested not anchored not stored refs pending

Alternation diameter of a product object

Ville Salo

arxiv:1901.03613 v2 · 2019-01-11 · math.GR · cs.DM · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62LQVNC7MCZEPNFXQFAF6CZW6P}

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	2026-05-17T23:56:09.187511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6970ab45f60b247b4b781405f0b36f3c27056686bd32817f7863cc8a9df064c

Aliases

arxiv: 1901.03613 · arxiv_version: 1901.03613v2 · doi: 10.48550/arxiv.1901.03613 · pith_short_12: 62LQVNC7MCZE · pith_short_16: 62LQVNC7MCZEPNFX · pith_short_8: 62LQVNC7

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/62LQVNC7MCZEPNFXQFAF6CZW6P \
  | 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: f6970ab45f60b247b4b781405f0b36f3c27056686bd32817f7863cc8a9df064c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b4a358f8fe23f4cd4cc508ad792f8350872e190a7b9f6a43a8284d0c140d763",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-11T15:27:27Z",
    "title_canon_sha256": "f7553392c23af5221ac8040d08ccda17998bc244725c06529d1e57ee551e315d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03613",
    "kind": "arxiv",
    "version": 2
  }
}