pith. sign in
Pith Number

pith:5WCOW5XF

pith:2011:5WCOW5XFV3EZFOWZBHVV7HHT2K
not attested not anchored not stored refs pending

Unbounding Ext

David I. Stewart

arxiv:1101.3004 v2 · 2011-01-15 · math.RT · math.GR · math.RA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5WCOW5XFV3EZFOWZBHVV7HHT2K}

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 2026-05-18T03:46:47.826246Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ed84eb76e5aec992bad909eb5f9cf3d28dc7a01e8e98594115d7f31ed7400309

Aliases

arxiv: 1101.3004 · arxiv_version: 1101.3004v2 · doi: 10.48550/arxiv.1101.3004 · pith_short_12: 5WCOW5XFV3EZ · pith_short_16: 5WCOW5XFV3EZFOWZ · pith_short_8: 5WCOW5XF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5WCOW5XFV3EZFOWZBHVV7HHT2K \
  | 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: ed84eb76e5aec992bad909eb5f9cf3d28dc7a01e8e98594115d7f31ed7400309
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c27b47e7aa7c5c6616e799fde8f36f5119a9da4914ed99a4a6067a112cb752d0",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-01-15T16:46:44Z",
    "title_canon_sha256": "f445cc74615330a5236e6503f49e8eb08222806156065b7366bb6886e4016eaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3004",
    "kind": "arxiv",
    "version": 2
  }
}