Pith Number

pith:PVVE4BPA

pith:2012:PVVE4BPA3MV2TIUCSUKYMU4C4O

not attested not anchored not stored refs pending

Representations of affine Kac-Moody groups over local and global fields: a survey of some recent results

Alexander Braverman, David Kazhdan

arxiv:1205.0870 v2 · 2012-05-04 · math.RT · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVVE4BPA3MV2TIUCSUKYMU4C4O}

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	2026-05-18T03:51:35.148551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d6a4e05e0db2ba9a2829515865382e39e0e8432fe9fb427d0c7e3c9d7b9bebd

Aliases

arxiv: 1205.0870 · arxiv_version: 1205.0870v2 · doi: 10.48550/arxiv.1205.0870 · pith_short_12: PVVE4BPA3MV2 · pith_short_16: PVVE4BPA3MV2TIUC · pith_short_8: PVVE4BPA

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/PVVE4BPA3MV2TIUCSUKYMU4C4O \
  | 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: 7d6a4e05e0db2ba9a2829515865382e39e0e8432fe9fb427d0c7e3c9d7b9bebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0825767fe20f1108f804b72059f0bcd7e389cc86b2f22b105f18ea81fe08d0a",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-05-04T07:07:58Z",
    "title_canon_sha256": "824ab03a73043ea024be066d24d83a0350609d347e384516a2ba37ede5957843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0870",
    "kind": "arxiv",
    "version": 2
  }
}