Pith Number

pith:QVTB3BF2

pith:2016:QVTB3BF253AR66RSQCM3HZ6ZYP

not attested not anchored not stored refs pending

Invariants of the special orthogonal group and an enhanced Brauer category

Gustav Lehrer, Ruibin Zhang

arxiv:1612.03998 v1 · 2016-12-13 · 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{QVTB3BF253AR66RSQCM3HZ6ZYP}

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	2026-05-18T00:55:05.891153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85661d84baeec11f7a328099b3e7d9c3f18fb223cb1e47e0a7dce092776e6857

Aliases

arxiv: 1612.03998 · arxiv_version: 1612.03998v1 · doi: 10.48550/arxiv.1612.03998 · pith_short_12: QVTB3BF253AR · pith_short_16: QVTB3BF253AR66RS · pith_short_8: QVTB3BF2

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/QVTB3BF253AR66RSQCM3HZ6ZYP \
  | 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: 85661d84baeec11f7a328099b3e7d9c3f18fb223cb1e47e0a7dce092776e6857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ffd5628c47c13e53db15043672dc2d214e2c4d7b37c7aa4c3592f69c8e9712",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-13T02:31:54Z",
    "title_canon_sha256": "4d1cfc77f398a9dd337b1d77c2822d6069a9e717d176cf5836409dfe0ea09bd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03998",
    "kind": "arxiv",
    "version": 1
  }
}