Pith Number

pith:QHVYGD2B

pith:2016:QHVYGD2BIEABCJW3FDXP3PUHAA

not attested not anchored not stored refs pending

Integral Van Vleck's and Kannappan's functional equations on semigroups

Elqorachi Elhoucien

arxiv:1605.05248 v1 · 2016-05-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHVYGD2BIEABCJW3FDXP3PUHAA}

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	2026-05-18T01:14:36.912764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81eb830f4141001126db28eefdbe87000ef93d7e2a30e2ca426ea6bef39a02bf

Aliases

arxiv: 1605.05248 · arxiv_version: 1605.05248v1 · doi: 10.48550/arxiv.1605.05248 · pith_short_12: QHVYGD2BIEAB · pith_short_16: QHVYGD2BIEABCJW3 · pith_short_8: QHVYGD2B

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/QHVYGD2BIEABCJW3FDXP3PUHAA \
  | 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: 81eb830f4141001126db28eefdbe87000ef93d7e2a30e2ca426ea6bef39a02bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf518d74a0c5252312d95490ab0f83482b2602cebc6581ab3784d1b48ad0177",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-12T16:43:22Z",
    "title_canon_sha256": "809932b7e3e0717e2f0f0a3eb74d3b89be12b4b60aa95cc01760da78962e0774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05248",
    "kind": "arxiv",
    "version": 1
  }
}