Pith Number

pith:TTHNP2DA

pith:2007:TTHNP2DARXVRHBSKICZ3JNQAOW

not attested not anchored not stored refs pending

The Hopf Algebra Structure of the Character Rings of Classical Groups

Bertfried Fauser, Peter D. Jarvis, Ronald C. King

arxiv:0704.2029 v2 · 2007-04-16 · math.RT · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTHNP2DARXVRHBSKICZ3JNQAOW}

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	2026-05-18T03:50:09.441631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cced7e8608deb13864a40b3b4b60075a71e6ae00b3ea226c03cf8a30c0b9310

Aliases

arxiv: 0704.2029 · arxiv_version: 0704.2029v2 · doi: 10.48550/arxiv.0704.2029 · pith_short_12: TTHNP2DARXVR · pith_short_16: TTHNP2DARXVRHBSK · pith_short_8: TTHNP2DA

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/TTHNP2DARXVRHBSKICZ3JNQAOW \
  | 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: 9cced7e8608deb13864a40b3b4b60075a71e6ae00b3ea226c03cf8a30c0b9310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e74f6cfc8ffa3e1c871c25f94ee05e729c0200be7acb3236988e2f55b407f358",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2007-04-16T16:22:05Z",
    "title_canon_sha256": "65c1189db06708be6d0bc4ecac754a1aba420abce559a6b75b73a782c2d7f23f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2029",
    "kind": "arxiv",
    "version": 2
  }
}