Pith Number

pith:KLB3CSPP

pith:2016:KLB3CSPPXEPSHCDK6HCVD6FKVT

not attested not anchored not stored refs pending

Around operators not increasing the degree of polynomials

P. Maroni, T. Augusta Mesquita

arxiv:1609.04540 v2 · 2016-09-15 · 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{KLB3CSPPXEPSHCDK6HCVD6FKVT}

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	2026-05-18T00:39:23.822272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c3b149efb91f23886af1c551f8aaacda6ad1bc2a6e1ec603aa451d28827e8d

Aliases

arxiv: 1609.04540 · arxiv_version: 1609.04540v2 · doi: 10.48550/arxiv.1609.04540 · pith_short_12: KLB3CSPPXEPS · pith_short_16: KLB3CSPPXEPSHCDK · pith_short_8: KLB3CSPP

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/KLB3CSPPXEPSHCDK6HCVD6FKVT \
  | 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: 52c3b149efb91f23886af1c551f8aaacda6ad1bc2a6e1ec603aa451d28827e8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d970d20374fce0be4c2598f2ba8a65e73be7bae277b2bbea61a544b3b5e58c10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-15T08:56:48Z",
    "title_canon_sha256": "5b6576caf9a31e468d45f4be3d729beec7f7dc1e0d501a3a87fa82662093df0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04540",
    "kind": "arxiv",
    "version": 2
  }
}