Pith Number

pith:ILPFYDQW

pith:2015:ILPFYDQWOTUFTAMTW3LV236ZIO

not attested not anchored not stored refs pending

A classification of torsors over Laurent polynomial rings

Arturo Pianzola, ICJ), Philippe Gille (IMAR, Vladimir Chernousov

arxiv:1510.05621 v1 · 2015-10-19 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILPFYDQWOTUFTAMTW3LV236ZIO}

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	2026-05-18T01:29:51.890251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42de5c0e1674e8598193b6d75d6fd94383371e5a7f10766855c4ab7db1fca6cc

Aliases

arxiv: 1510.05621 · arxiv_version: 1510.05621v1 · doi: 10.48550/arxiv.1510.05621 · pith_short_12: ILPFYDQWOTUF · pith_short_16: ILPFYDQWOTUFTAMT · pith_short_8: ILPFYDQW

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/ILPFYDQWOTUFTAMTW3LV236ZIO \
  | 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: 42de5c0e1674e8598193b6d75d6fd94383371e5a7f10766855c4ab7db1fca6cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95f3b7fdfc55b09af72ceac9596d5d5581f5aef02b29b83d1825a5cfacd09780",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-10-19T19:00:32Z",
    "title_canon_sha256": "9997868a9485f44a027eea367f7823eab35bdcba700264003afba15c150e8680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05621",
    "kind": "arxiv",
    "version": 1
  }
}