Pith Number

pith:HERL4VCY

pith:2018:HERL4VCYPAIAIMAVNQBYUBN5AQ

not attested not anchored not stored refs pending

Branching from the General Linear Group to the Symmetric Group and the Principal Embedding

Alexander Heaton, Jeb F. Willenbring, Songpon Sriwongsa

arxiv:1812.06211 v2 · 2018-12-15 · 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{HERL4VCYPAIAIMAVNQBYUBN5AQ}

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	2026-07-05T01:01:33.714910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3922be545878100430156c038a05bd0405113c78b68ebbfa4888590c74bfe2ac

Aliases

arxiv: 1812.06211 · arxiv_version: 1812.06211v2 · doi: 10.48550/arxiv.1812.06211 · pith_short_12: HERL4VCYPAIA · pith_short_16: HERL4VCYPAIAIMAV · pith_short_8: HERL4VCY

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/HERL4VCYPAIAIMAVNQBYUBN5AQ \
  | 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: 3922be545878100430156c038a05bd0405113c78b68ebbfa4888590c74bfe2ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0a4f6be39f2b2cd30060c0abe756d1a8dbac03bf2572e8c2dd92dc85c02af2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-12-15T00:42:19Z",
    "title_canon_sha256": "99832e5f2320f6414e1d8f040179db89af35f5b889b1502d803e63515a318d54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06211",
    "kind": "arxiv",
    "version": 2
  }
}