Pith Number

pith:GI24H2QG

pith:2015:GI24H2QGJI57BEMSANAWHVS34C

not attested not anchored not stored refs pending

Relative Brauer groups of torsors of period two

Brendan Creutz

arxiv:1504.07305 v2 · 2015-04-27 · 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{GI24H2QGJI57BEMSANAWHVS34C}

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	2026-05-18T01:09:59.813841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3235c3ea064a3bf09192034163d65be0b0dc7a9c613bab28f6bd0bcaf38eb6c3

Aliases

arxiv: 1504.07305 · arxiv_version: 1504.07305v2 · doi: 10.48550/arxiv.1504.07305 · pith_short_12: GI24H2QGJI57 · pith_short_16: GI24H2QGJI57BEMS · pith_short_8: GI24H2QG

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/GI24H2QGJI57BEMSANAWHVS34C \
  | 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: 3235c3ea064a3bf09192034163d65be0b0dc7a9c613bab28f6bd0bcaf38eb6c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ac660ec5bbf736436c44e28f28584e67178cf6d18f8b0874950d7da8ffd40eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-27T23:40:19Z",
    "title_canon_sha256": "9865d181a382e21cb5ea612872afc301fa8f541904846ce33d6cd1976f0525b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07305",
    "kind": "arxiv",
    "version": 2
  }
}