Pith Number

pith:HSFC6UAD

pith:2013:HSFC6UADPZAJDW7YIOYUGYJTEH

not attested not anchored not stored refs pending

Some aspects of harmonic analysis related to Gegenbauer expansions on the half-line

Elman J. Ibrahimov, Vagif S. Guliyev

arxiv:1310.6852 v1 · 2013-10-25 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSFC6UADPZAJDW7YIOYUGYJTEH}

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	2026-05-18T03:08:57.221091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8a2f50037e4091dbf843b143613321d9233e5e5955c187a541b0d054ba0a75

Aliases

arxiv: 1310.6852 · arxiv_version: 1310.6852v1 · doi: 10.48550/arxiv.1310.6852 · pith_short_12: HSFC6UADPZAJ · pith_short_16: HSFC6UADPZAJDW7Y · pith_short_8: HSFC6UAD

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/HSFC6UADPZAJDW7YIOYUGYJTEH \
  | 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: 3c8a2f50037e4091dbf843b143613321d9233e5e5955c187a541b0d054ba0a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0649c69fe20f576f228404c4856fdedcd5165cb90a9430298430cebb30a2b401",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-25T08:48:54Z",
    "title_canon_sha256": "46ae002cff25c2fff30a3e46834ba8a19c50fd4180084f14a1bee4db9f8d8da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6852",
    "kind": "arxiv",
    "version": 1
  }
}