Pith Number

pith:KQXBW5CS

pith:2012:KQXBW5CS7M4UFUJ5R5HYCYAFE4

not attested not anchored not stored refs pending

Representation theory for the Kriz model

Barbu Berceanu, Haniya Azam, Samia Ashraf

arxiv:1204.1272 v1 · 2012-04-05 · math.GT · 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{KQXBW5CS7M4UFUJ5R5HYCYAFE4}

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	2026-05-18T02:41:43.241978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

542e1b7452fb3942d13d8f4f81600527385c075ae654722c370de61374e5edc9

Aliases

arxiv: 1204.1272 · arxiv_version: 1204.1272v1 · doi: 10.48550/arxiv.1204.1272 · pith_short_12: KQXBW5CS7M4U · pith_short_16: KQXBW5CS7M4UFUJ5 · pith_short_8: KQXBW5CS

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/KQXBW5CS7M4UFUJ5R5HYCYAFE4 \
  | 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: 542e1b7452fb3942d13d8f4f81600527385c075ae654722c370de61374e5edc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06dbe9a7677c18cfd5209fff2dabedd50e04349b0aa2cd38d1478405cb1fdc90",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-05T16:46:26Z",
    "title_canon_sha256": "3c8df7c40faeadb430edee6c7015fd0a2d98f15cf8c3ba68951b49a1102ea322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1272",
    "kind": "arxiv",
    "version": 1
  }
}