Pith Number

pith:2HE4OYV3

pith:2010:2HE4OYV3BYR5NHJROO6BTCRY4C

not attested not anchored not stored refs pending

Colocalizing subcategories and cosupport

Dave Benson, Henning Krause, Srikanth B. Iyengar

arxiv:1008.3701 v2 · 2010-08-22 · math.RT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HE4OYV3BYR5NHJROO6BTCRY4C}

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	2026-05-18T04:28:48.206984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1c9c762bb0e23d69d3173bc198a38e0a5b5060b1bff9e6c605cc9436a98347b

Aliases

arxiv: 1008.3701 · arxiv_version: 1008.3701v2 · doi: 10.48550/arxiv.1008.3701 · pith_short_12: 2HE4OYV3BYR5 · pith_short_16: 2HE4OYV3BYR5NHJR · pith_short_8: 2HE4OYV3

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/2HE4OYV3BYR5NHJROO6BTCRY4C \
  | 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: d1c9c762bb0e23d69d3173bc198a38e0a5b5060b1bff9e6c605cc9436a98347b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e39819b6b3f32f531c85f9e71e5f59c42b9406ecaa4663ca8951a5eb9cf972b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-08-22T14:51:34Z",
    "title_canon_sha256": "061b3714ebb5cb039d5ad866930c306f889c6d9c43600d36e1f47c4e46e7cff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3701",
    "kind": "arxiv",
    "version": 2
  }
}