pith. sign in
Pith Number

pith:E42XXCSP

pith:2011:E42XXCSPMXFB2L6CLUQGSIQWAJ
not attested not anchored not stored refs pending

From forms to semigroups

A. F. M. ter Elst, Wolfgang Arendt

arxiv:1104.1013 v1 · 2011-04-06 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{E42XXCSPMXFB2L6CLUQGSIQWAJ}

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 2026-05-18T04:24:53.788110Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

27357b8a4f65ca1d2fc25d20692216025b0bef8624ad330605d429301daba02e

Aliases

arxiv: 1104.1013 · arxiv_version: 1104.1013v1 · doi: 10.48550/arxiv.1104.1013 · pith_short_12: E42XXCSPMXFB · pith_short_16: E42XXCSPMXFB2L6C · pith_short_8: E42XXCSP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/E42XXCSPMXFB2L6CLUQGSIQWAJ \
  | 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: 27357b8a4f65ca1d2fc25d20692216025b0bef8624ad330605d429301daba02e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9b533478f8df04a72d9ee56ff71cea5a9568568251750bd6560a8db20f3689c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-06T06:02:15Z",
    "title_canon_sha256": "952be086812769dbf583936d9fe295588ae565a2f1517eb3e9f93652d25c280b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1013",
    "kind": "arxiv",
    "version": 1
  }
}