Pith Number

pith:I56DJYOU

pith:2012:I56DJYOUQPI4JNJ4GBAHC6UPQR

not attested not anchored not stored refs pending

New examples of Green functors arising from representation theory of semisimple Hopf algebras

Sebastian Burciu

arxiv:1208.1037 v3 · 2012-08-05 · math.QA · math.RA · 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{I56DJYOUQPI4JNJ4GBAHC6UPQR}

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	2026-05-18T03:16:06.431050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

477c34e1d483d1c4b53c3040717a8f844dff7127cd740a503c3bd7780bbea815

Aliases

arxiv: 1208.1037 · arxiv_version: 1208.1037v3 · doi: 10.48550/arxiv.1208.1037 · pith_short_12: I56DJYOUQPI4 · pith_short_16: I56DJYOUQPI4JNJ4 · pith_short_8: I56DJYOU

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/I56DJYOUQPI4JNJ4GBAHC6UPQR \
  | 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: 477c34e1d483d1c4b53c3040717a8f844dff7127cd740a503c3bd7780bbea815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5e8572665925a78d8424803090333b87a06a564833d0c1adc0445885e4c8969",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-08-05T17:05:46Z",
    "title_canon_sha256": "0bcd2cc567dccdd9c79fc58603199a85479f2a54be64aef4c458e45aad417a11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1037",
    "kind": "arxiv",
    "version": 3
  }
}