Pith Number

pith:SLBIYR4F

pith:2010:SLBIYR4FKZUY5GQDUX6OJDE4CR

not attested not anchored not stored refs pending

Remarks on the Cauchy functional equation and variations of it

Daniel Reem

arxiv:1002.3721 v7 · 2010-02-19 · math.CA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLBIYR4FKZUY5GQDUX6OJDE4CR}

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	2026-05-18T00:45:52.812718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92c28c478556698e9a03a5fce48c9c144e1541bd2a8712641ff5226595e2281d

Aliases

arxiv: 1002.3721 · arxiv_version: 1002.3721v7 · doi: 10.48550/arxiv.1002.3721 · pith_short_12: SLBIYR4FKZUY · pith_short_16: SLBIYR4FKZUY5GQD · pith_short_8: SLBIYR4F

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/SLBIYR4FKZUY5GQDUX6OJDE4CR \
  | 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: 92c28c478556698e9a03a5fce48c9c144e1541bd2a8712641ff5226595e2281d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e48edb21612fc182f6cc7c00644ea4938e7343d43dbddd25c1e5e8af79e8f8fa",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-02-19T11:58:05Z",
    "title_canon_sha256": "734cace243751aad2682d9043d8f668c54c2cec94991b5b5b00653f48fc741fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3721",
    "kind": "arxiv",
    "version": 7
  }
}