Pith Number

pith:G77A6ASS

pith:2013:G77A6ASSNPH55DWYT4GUQX5BCE

not attested not anchored not stored refs pending

Infinite transitivity on universal torsors

Alexander Perepechko, Hendrik S\"u{\ss}, Ivan Arzhantsev

arxiv:1302.2309 v2 · 2013-02-10 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G77A6ASSNPH55DWYT4GUQX5BCE}

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	2026-05-18T02:41:09.132729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37fe0f02526bcfde8ed89f0d485fa111290c29c5f8303f45c4d4284b0f777106

Aliases

arxiv: 1302.2309 · arxiv_version: 1302.2309v2 · doi: 10.48550/arxiv.1302.2309 · pith_short_12: G77A6ASSNPH5 · pith_short_16: G77A6ASSNPH55DWY · pith_short_8: G77A6ASS

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/G77A6ASSNPH55DWYT4GUQX5BCE \
  | 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: 37fe0f02526bcfde8ed89f0d485fa111290c29c5f8303f45c4d4284b0f777106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01187ad6915b04e89e59da43706537b72bae14882f80440546892c9b46d2abdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-10T09:21:48Z",
    "title_canon_sha256": "8989963cf69812263fa3e46fbd14158a003a3b19dcf02d9a68fcccde3d8fb45c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2309",
    "kind": "arxiv",
    "version": 2
  }
}