Pith Number

pith:Z2CAW5Q6

pith:2016:Z2CAW5Q6NM3DG4A6NGXXB6DJRQ

not attested not anchored not stored refs pending

On Popoviciu-Ionescu functional equation

J. M. Almira

arxiv:1604.00616 v2 · 2016-04-03 · 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{Z2CAW5Q6NM3DG4A6NGXXB6DJRQ}

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	2026-05-18T01:14:52.287381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce840b761e6b3633701e69af70f8698c1370ce0ff8e0fcb2494f1664d3c89d4e

Aliases

arxiv: 1604.00616 · arxiv_version: 1604.00616v2 · doi: 10.48550/arxiv.1604.00616 · pith_short_12: Z2CAW5Q6NM3D · pith_short_16: Z2CAW5Q6NM3DG4A6 · pith_short_8: Z2CAW5Q6

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/Z2CAW5Q6NM3DG4A6NGXXB6DJRQ \
  | 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: ce840b761e6b3633701e69af70f8698c1370ce0ff8e0fcb2494f1664d3c89d4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb97439a599ca0358dca2481777e44dbaee7c0c3ec2856490cfd83d201d51fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-03T09:46:08Z",
    "title_canon_sha256": "faaaaa81b1611d7f3759f282544df59da485c469324ac8e0e029b195733f8660"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00616",
    "kind": "arxiv",
    "version": 2
  }
}