Pith Number

pith:6PR7HV2L

pith:2012:6PR7HV2LUGAFDCS3DEGBONKGK6

not attested not anchored not stored refs pending

Twisted Satake Category

Bhairav Singh

arxiv:1211.0042 v2 · 2012-10-31 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PR7HV2LUGAFDCS3DEGBONKGK6}

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	2026-05-18T03:39:04.755195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e3f3d74ba180518a5b190c173546579b2999ca1ab73c809eee5ade236b6651

Aliases

arxiv: 1211.0042 · arxiv_version: 1211.0042v2 · doi: 10.48550/arxiv.1211.0042 · pith_short_12: 6PR7HV2LUGAF · pith_short_16: 6PR7HV2LUGAFDCS3 · pith_short_8: 6PR7HV2L

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/6PR7HV2LUGAFDCS3DEGBONKGK6 \
  | 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: f3e3f3d74ba180518a5b190c173546579b2999ca1ab73c809eee5ade236b6651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "266432441c2ea7feb8a0f9ec354985571a8f0a108f1ac676b4e32ca1d81e6c87",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-31T21:47:59Z",
    "title_canon_sha256": "e44720fd9fba22c9ed9eb5ea670e7fb786cf5162bd1a4053e4d7b860cdff9270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0042",
    "kind": "arxiv",
    "version": 2
  }
}