Pith Number

pith:5CRYD6CF

pith:2013:5CRYD6CFZ4PMSBGYZNQHFTUFRI

not attested not anchored not stored refs pending

Torsors and the Quillen-Barr-Beck cohomology for restricted Lie algebras

Ioannis Dokas

arxiv:1305.1637 v1 · 2013-05-07 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CRYD6CFZ4PMSBGYZNQHFTUFRI}

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	2026-05-18T03:26:11.764271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8a381f845cf1ec904d8cb6072ce858a1cd7f99bd63745c849e1f386ecc6e1fc

Aliases

arxiv: 1305.1637 · arxiv_version: 1305.1637v1 · doi: 10.48550/arxiv.1305.1637 · pith_short_12: 5CRYD6CFZ4PM · pith_short_16: 5CRYD6CFZ4PMSBGY · pith_short_8: 5CRYD6CF

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/5CRYD6CFZ4PMSBGYZNQHFTUFRI \
  | 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: e8a381f845cf1ec904d8cb6072ce858a1cd7f99bd63745c849e1f386ecc6e1fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "131d0c4170af43055d2b5ec0820805a3e7dd40815a9ebe3f6b979e98cbe936cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-05-07T20:18:23Z",
    "title_canon_sha256": "4c71305ed9e6b0fdaf09f6747911d1af35ff5d71c0b61752068ad60725e348b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1637",
    "kind": "arxiv",
    "version": 1
  }
}