pith. sign in
Pith Number

pith:2S7UEKX2

pith:2008:2S7UEKX2J6YDSRD4PBG2DLXSBU
not attested not anchored not stored refs pending

$AC(\sigma)$ operators

Brenden Ashton, Ian Doust

arxiv:0807.1045 v2 · 2008-07-07 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2S7UEKX2J6YDSRD4PBG2DLXSBU}

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 2026-05-18T03:07:32.311987Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d4bf422afa4fb039447c784da1aef20d019e7c827992774e8fca29ec47e7161b

Aliases

arxiv: 0807.1045 · arxiv_version: 0807.1045v2 · doi: 10.48550/arxiv.0807.1045 · pith_short_12: 2S7UEKX2J6YD · pith_short_16: 2S7UEKX2J6YDSRD4 · pith_short_8: 2S7UEKX2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2S7UEKX2J6YDSRD4PBG2DLXSBU \
  | 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: d4bf422afa4fb039447c784da1aef20d019e7c827992774e8fca29ec47e7161b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fad4056970427da78885315388c362d5c38f510e820e93436eb88702fb7b3fe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-07-07T15:42:55Z",
    "title_canon_sha256": "e30d307b1eb143925716c5dcb620b82e48e12f772427f2a398dfe29a9285c323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1045",
    "kind": "arxiv",
    "version": 2
  }
}