Pith Number

pith:XTFXUQT4

pith:2015:XTFXUQT4GBWVHRY3UGSKMSGJO2

not attested not anchored not stored refs pending

About split quaternion algebras over quadratic fields and symbol algebras of degree $n$

Diana Savin

arxiv:1511.07509 v2 · 2015-11-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTFXUQT4GBWVHRY3UGSKMSGJO2}

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	2026-05-18T01:01:36.099008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bccb7a427c306d53c71ba1a4a648c976a84caa189f0cde5be4435c670062811d

Aliases

arxiv: 1511.07509 · arxiv_version: 1511.07509v2 · doi: 10.48550/arxiv.1511.07509 · pith_short_12: XTFXUQT4GBWV · pith_short_16: XTFXUQT4GBWVHRY3 · pith_short_8: XTFXUQT4

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/XTFXUQT4GBWVHRY3UGSKMSGJO2 \
  | 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: bccb7a427c306d53c71ba1a4a648c976a84caa189f0cde5be4435c670062811d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d2fb6264fc57d33cb276921150844295785bd2fef0b7646a6aa2901f7173ff6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-23T23:42:49Z",
    "title_canon_sha256": "d90d781a20190ebb20aacd13de478b0ec233297e5e45f71faa367cd2d11cd780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07509",
    "kind": "arxiv",
    "version": 2
  }
}