Pith Number

pith:V5Q2ZB7U

pith:2013:V5Q2ZB7UJQJ3SNH5DDK7Q4WUPP

not attested not anchored not stored refs pending

Random groups and nonarchimedean lattices

Mikael Pichot, Sylvain Barre

arxiv:1308.2315 v2 · 2013-08-10 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5Q2ZB7UJQJ3SNH5DDK7Q4WUPP}

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	2026-05-18T02:41:59.720179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af61ac87f44c13b934fd18d5f872d47bd6dae75d00825be769efe26e8e687e21

Aliases

arxiv: 1308.2315 · arxiv_version: 1308.2315v2 · doi: 10.48550/arxiv.1308.2315 · pith_short_12: V5Q2ZB7UJQJ3 · pith_short_16: V5Q2ZB7UJQJ3SNH5 · pith_short_8: V5Q2ZB7U

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/V5Q2ZB7UJQJ3SNH5DDK7Q4WUPP \
  | 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: af61ac87f44c13b934fd18d5f872d47bd6dae75d00825be769efe26e8e687e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e547223a3f50957ffc4ae301d57c89b4a14769008d3ed20cad4e1001ed4ecaf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-10T13:59:54Z",
    "title_canon_sha256": "8ee7aa8154374259c061c85f65e9280869dd7bb9ba45d236e3e8e9e0ae8a566c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2315",
    "kind": "arxiv",
    "version": 2
  }
}