Pith Number

pith:CUMXXGAF

pith:2025:CUMXXGAFEXBY7SDQVOMLUTUG6P

not attested not anchored not stored refs pending

Magnetic Equivariant Graded Brauer Group

Bernardo Uribe, Higinio Serrano

arxiv:2512.03511 v2 · 2025-12-03 · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUMXXGAFEXBY7SDQVOMLUTUG6P}

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	2026-05-20T00:04:18.377079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15197b980525c38fc870ab98ba4e86f3c1060d8eb6fcb59dbe6787933cace9c3

Aliases

arxiv: 2512.03511 · arxiv_version: 2512.03511v2 · doi: 10.48550/arxiv.2512.03511 · pith_short_12: CUMXXGAFEXBY · pith_short_16: CUMXXGAFEXBY7SDQ · pith_short_8: CUMXXGAF

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/CUMXXGAFEXBY7SDQVOMLUTUG6P \
  | 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: 15197b980525c38fc870ab98ba4e86f3c1060d8eb6fcb59dbe6787933cace9c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d9f98942b1f2ee4fb72d2861ad5a73b12e99866ed5bfcca19ea315db455c896",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2025-12-03T07:10:03Z",
    "title_canon_sha256": "914afc72f9351becccb14a10fc7f1d4aaa414d41b09205a10d9e8c82cc056b01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.03511",
    "kind": "arxiv",
    "version": 2
  }
}