Pith Number

pith:AR2JI5RH

pith:2011:AR2JI5RHO6EAATUTFB4AX5H3ID

not attested not anchored not stored refs pending

Modular Representations, Old and New

Bhama Srinivasan

arxiv:1108.3310 v1 · 2011-08-16 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AR2JI5RHO6EAATUTFB4AX5H3ID}

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	2026-05-18T04:15:27.549806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04749476277788004e9328780bf4fb40f5085018994f4b720b006ae02dd4bcb8

Aliases

arxiv: 1108.3310 · arxiv_version: 1108.3310v1 · doi: 10.48550/arxiv.1108.3310 · pith_short_12: AR2JI5RHO6EA · pith_short_16: AR2JI5RHO6EAATUT · pith_short_8: AR2JI5RH

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/AR2JI5RHO6EAATUTFB4AX5H3ID \
  | 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: 04749476277788004e9328780bf4fb40f5085018994f4b720b006ae02dd4bcb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3c7a79f0612eedb5404d2f57fd42f781fca399139a0fbe013665cc37ae9187f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-16T18:28:49Z",
    "title_canon_sha256": "8faf28f0f4f068980748a718ff5231c050aa29bbcdd6cd98f89473097bc0cbb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3310",
    "kind": "arxiv",
    "version": 1
  }
}