Pith Number

pith:VMIXF3NF

pith:2013:VMIXF3NFAEO3ARWY4HPSHLFAJD

not attested not anchored not stored refs pending

Multivariate time-space harmonic polynomials: a symbolic approach

E. Di Nardo, I. Oliva

arxiv:1310.4254 v1 · 2013-10-16 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMIXF3NFAEO3ARWY4HPSHLFAJD}

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	2026-05-18T03:10:23.407721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1172eda5011db046d8e1df23aca048e87e224b3ad0c2e4e018f05236a92e8f

Aliases

arxiv: 1310.4254 · arxiv_version: 1310.4254v1 · doi: 10.48550/arxiv.1310.4254 · pith_short_12: VMIXF3NFAEO3 · pith_short_16: VMIXF3NFAEO3ARWY · pith_short_8: VMIXF3NF

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/VMIXF3NFAEO3ARWY4HPSHLFAJD \
  | 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: ab1172eda5011db046d8e1df23aca048e87e224b3ad0c2e4e018f05236a92e8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "294e9707aec03ebd312648afbc9ddfcfcc1bbaf53bd17387bcc0fad2a74d2e38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-16T03:12:55Z",
    "title_canon_sha256": "4d102135e1ae4e04471af2302e3b1b9c57ca720873d0aa914521c03cf9644037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4254",
    "kind": "arxiv",
    "version": 1
  }
}