Pith Number

pith:MPRG6A3J

pith:2012:MPRG6A3JQGG75U7DEW6ZCNRMXT

not attested not anchored not stored refs pending

Tiling branching multiplicity spaces with GL2 pattern blocks

Sangjib Kim

arxiv:1210.8206 v2 · 2012-10-31 · 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{MPRG6A3JQGG75U7DEW6ZCNRMXT}

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	2026-05-18T03:41:33.163066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63e26f0369818dfed3e325bd91362cbcec42fd1f9b42b9b6c7f45964eed9c1ab

Aliases

arxiv: 1210.8206 · arxiv_version: 1210.8206v2 · doi: 10.48550/arxiv.1210.8206 · pith_short_12: MPRG6A3JQGG7 · pith_short_16: MPRG6A3JQGG75U7D · pith_short_8: MPRG6A3J

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/MPRG6A3JQGG75U7DEW6ZCNRMXT \
  | 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: 63e26f0369818dfed3e325bd91362cbcec42fd1f9b42b9b6c7f45964eed9c1ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e5119cee18d3fd3e405904c43244575f236f1ecb6d8e629c56af9f8db6c1de4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-31T00:49:27Z",
    "title_canon_sha256": "f5210d33a594a20dc26c8eae70d3dc2169e1f38268ef03ca3fd71b66138a63ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8206",
    "kind": "arxiv",
    "version": 2
  }
}