Pith Number

pith:26TQIZJR

pith:2012:26TQIZJRATWODEGHHBNUZMD7VV

not attested not anchored not stored refs pending

Lie groups, algebraic groups and lattices

Alexander Gorodnik

arxiv:1210.0222 v1 · 2012-09-30 · 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{26TQIZJRATWODEGHHBNUZMD7VV}

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	2026-05-18T03:44:22.974284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a704653104ece190c7385b4cb07fad5a0501f3a19eee31ad0192cd0b93710b

Aliases

arxiv: 1210.0222 · arxiv_version: 1210.0222v1 · doi: 10.48550/arxiv.1210.0222 · pith_short_12: 26TQIZJRATWO · pith_short_16: 26TQIZJRATWODEGH · pith_short_8: 26TQIZJR

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/26TQIZJRATWODEGHHBNUZMD7VV \
  | 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: d7a704653104ece190c7385b4cb07fad5a0501f3a19eee31ad0192cd0b93710b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85fd4384799d72a3e7f602b9383f24275fff2785f30ed11c751c1a62c15c7c9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-09-30T17:08:05Z",
    "title_canon_sha256": "5a0b18838f0c0e9ec5895e1c1eeee8af0037d7c085c444d4d344c8b3b6692517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0222",
    "kind": "arxiv",
    "version": 1
  }
}