Pith Number

pith:4TQZR2SM

pith:2015:4TQZR2SMML4EJJCEX7WB5YY6LZ

not attested not anchored not stored refs pending

Cartier isomorphism for unital associative algebras

D. Kaledin

arxiv:1509.08049 v1 · 2015-09-27 · math.AG · 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{4TQZR2SMML4EJJCEX7WB5YY6LZ}

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	2026-05-18T01:31:54.844009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e198ea4c62f844a444bfec1ee31e5e63b7c9a4875025ec1ebb905347e1ef11

Aliases

arxiv: 1509.08049 · arxiv_version: 1509.08049v1 · doi: 10.48550/arxiv.1509.08049 · pith_short_12: 4TQZR2SMML4E · pith_short_16: 4TQZR2SMML4EJJCE · pith_short_8: 4TQZR2SM

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/4TQZR2SMML4EJJCEX7WB5YY6LZ \
  | 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: e4e198ea4c62f844a444bfec1ee31e5e63b7c9a4875025ec1ebb905347e1ef11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b373527530f9cfc53d2a0927187e972bba37b89176ee6a8ca74a9e3beba4750",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-27T03:47:39Z",
    "title_canon_sha256": "91439180a8017f03f42a53cf808ec6d05332d218cbf5963bc8ea71fa7139e876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08049",
    "kind": "arxiv",
    "version": 1
  }
}