Pith Number

pith:23K7RIVA

pith:2019:23K7RIVA7EZR7MQFAOOYQ5R34Q

not attested not anchored not stored refs pending

Uniform existence of the IDS on lattices and groups

Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselic

arxiv:1901.08834 v1 · 2019-01-25 · math.PR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23K7RIVA7EZR7MQFAOOYQ5R34Q}

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	2026-05-17T23:55:32.962689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6d5f8a2a0f9331fb205039d88763be422469dc1cca79959132587c689e51255

Aliases

arxiv: 1901.08834 · arxiv_version: 1901.08834v1 · doi: 10.48550/arxiv.1901.08834 · pith_short_12: 23K7RIVA7EZR · pith_short_16: 23K7RIVA7EZR7MQF · pith_short_8: 23K7RIVA

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/23K7RIVA7EZR7MQFAOOYQ5R34Q \
  | 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: d6d5f8a2a0f9331fb205039d88763be422469dc1cca79959132587c689e51255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "077db7b1230d71d35ffdd23ad3d631b38660b0b27ec08300ee9c619ef686ff7e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-25T11:17:37Z",
    "title_canon_sha256": "f6b3a0817fb18dd7f83e2a72c99b021590b8d0310bb7273a63cefcfbf2bb84f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08834",
    "kind": "arxiv",
    "version": 1
  }
}