Pith Number

pith:F6W3FTZY

pith:2013:F6W3FTZYMOP35HXWYJJKE6KM4T

not attested not anchored not stored refs pending

Symmetric Representation Rings are $\lambda$-Rings

Marcus Zibrowius

arxiv:1308.0796 v4 · 2013-08-04 · math.KT · 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{F6W3FTZYMOP35HXWYJJKE6KM4T}

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	2026-05-18T01:28:44.473806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fadb2cf38639fbe9ef6c252a2794ce4fd58c4966eb38e0053f5ef733e4ba1c9

Aliases

arxiv: 1308.0796 · arxiv_version: 1308.0796v4 · doi: 10.48550/arxiv.1308.0796 · pith_short_12: F6W3FTZYMOP3 · pith_short_16: F6W3FTZYMOP35HXW · pith_short_8: F6W3FTZY

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/F6W3FTZYMOP35HXWYJJKE6KM4T \
  | 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: 2fadb2cf38639fbe9ef6c252a2794ce4fd58c4966eb38e0053f5ef733e4ba1c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "849ea6ada0657e69cf9cd340a25fa78ee3a60e4ed4e44c3869d26252a85acee0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-08-04T11:52:09Z",
    "title_canon_sha256": "aa54f5ae50a4761e7c88fcffc7f0075e7558fc0014224eff3d951f3400808465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0796",
    "kind": "arxiv",
    "version": 4
  }
}