Pith Number

pith:XIJHMWG6

pith:2012:XIJHMWG6S3EK67VMRKSFOT3Q25

not attested not anchored not stored refs pending

Groups acting on tensor products

James B. Wilson, Peter A. Brooksbank

arxiv:1210.0827 v1 · 2012-10-02 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIJHMWG6S3EK67VMRKSFOT3Q25}

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	2026-05-18T02:29:08.542236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba127658de96c8af7eac8aa4574f70d74a965adcb121e967a03caa87d9da0fcb

Aliases

arxiv: 1210.0827 · arxiv_version: 1210.0827v1 · doi: 10.48550/arxiv.1210.0827 · pith_short_12: XIJHMWG6S3EK · pith_short_16: XIJHMWG6S3EK67VM · pith_short_8: XIJHMWG6

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/XIJHMWG6S3EK67VMRKSFOT3Q25 \
  | 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: ba127658de96c8af7eac8aa4574f70d74a965adcb121e967a03caa87d9da0fcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4948c7240172520a67eba06d2903fb63fc5451100f3c36b8a14752a3972262fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-02T16:19:22Z",
    "title_canon_sha256": "49c08236599f3f68a668e2bf7e9468904e481aa5ad23dc1900dcec55a15934b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0827",
    "kind": "arxiv",
    "version": 1
  }
}