Pith Number

pith:SHG6IXKA

pith:2016:SHG6IXKA5LEOKOGQMRIYHPEFYB

not attested not anchored not stored refs pending

A class of functional equations on monoids

Bouikhalene Belaid, Elqorachi Elhoucien

arxiv:1603.02065 v1 · 2016-02-22 · 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{SHG6IXKA5LEOKOGQMRIYHPEFYB}

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	2026-05-18T01:19:31.717209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91cde45d40eac8e538d0645183bc85c0689b712fe85714787d42bd61bef6eefa

Aliases

arxiv: 1603.02065 · arxiv_version: 1603.02065v1 · doi: 10.48550/arxiv.1603.02065 · pith_short_12: SHG6IXKA5LEO · pith_short_16: SHG6IXKA5LEOKOGQ · pith_short_8: SHG6IXKA

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/SHG6IXKA5LEOKOGQMRIYHPEFYB \
  | 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: 91cde45d40eac8e538d0645183bc85c0689b712fe85714787d42bd61bef6eefa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a2326de0b88b3dfa8a5b2c328d4e65acdad6b79beeb59f3022a123f7666801",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-22T11:32:02Z",
    "title_canon_sha256": "d17bc1d88fae6273e03e9486a0d438529cf1162c53aa05ef1a2251491e9b0adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02065",
    "kind": "arxiv",
    "version": 1
  }
}