Pith Number

pith:LWUVUGYT

pith:1993:LWUVUGYTYNHTESLDBICAGK4TZG

not attested not anchored not stored refs pending

Using sums of squares to prove that certain entire functions have only real zeros

George Gasper Jr

arxiv:math/9307210 v1 · 1993-07-09 · 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{LWUVUGYTYNHTESLDBICAGK4TZG}

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	2026-05-18T01:05:52.090356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5da95a1b13c34f3249630a04032b93c9ae53d2fec3870f863144b7a0a616a719

Aliases

arxiv: math/9307210 · arxiv_version: math/9307210v1 · doi: 10.48550/arxiv.math/9307210 · pith_short_12: LWUVUGYTYNHT · pith_short_16: LWUVUGYTYNHTESLD · pith_short_8: LWUVUGYT

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/LWUVUGYTYNHTESLDBICAGK4TZG \
  | 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: 5da95a1b13c34f3249630a04032b93c9ae53d2fec3870f863144b7a0a616a719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8860b954e7171a1aba8c88266275621ac1ff806461197a43afcab7583cfc31b9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1993-07-09T00:00:00Z",
    "title_canon_sha256": "b39688a90e8ea3b7930aebcc0d775b6a9010368c8edb8c6b2a53f0e4c6b4f7f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9307210",
    "kind": "arxiv",
    "version": 1
  }
}