Pith Number

pith:6E6UBWMO

pith:2010:6E6UBWMOF5C7KDV62PT5YCK2ML

not attested not anchored not stored refs pending

Liftings of Reduction Maps for Quaternion Algebras

Christophe Cornut, Dimitar Jetchev

arxiv:1012.0725 v1 · 2010-12-03 · math.NT · 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{6E6UBWMOF5C7KDV62PT5YCK2ML}

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	2026-05-18T00:26:16.972165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f13d40d98e2f45f50ebed3e7dc095a62f185d7bcb89e34625ae715b8973f211e

Aliases

arxiv: 1012.0725 · arxiv_version: 1012.0725v1 · doi: 10.48550/arxiv.1012.0725 · pith_short_12: 6E6UBWMOF5C7 · pith_short_16: 6E6UBWMOF5C7KDV6 · pith_short_8: 6E6UBWMO

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/6E6UBWMOF5C7KDV62PT5YCK2ML \
  | 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: f13d40d98e2f45f50ebed3e7dc095a62f185d7bcb89e34625ae715b8973f211e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f45f756b7c88d483f13f136cdb71bc8bc1cbf51666d62350e153de5415480db",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-03T12:57:44Z",
    "title_canon_sha256": "5ae1612ac1fdeb9f57539786bee7a3e9ee592d71d2c827085d3fe40ba2171814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0725",
    "kind": "arxiv",
    "version": 1
  }
}