Pith Number

pith:R52Z7YTR

pith:2018:R52Z7YTRVTQ5NMYUM6ZARFF6AC

not attested not anchored not stored refs pending

On Fundamental Operations for Multimodular Functions

Kazuo Murota, Satoko Moriguchi

arxiv:1805.04245 v2 · 2018-05-11 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R52Z7YTRVTQ5NMYUM6ZARFF6AC}

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	2026-05-17T23:42:43.270580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f759fe271ace1d6b31467b20894be008c2ce8bbecddc98d587fe024e70bce8a

Aliases

arxiv: 1805.04245 · arxiv_version: 1805.04245v2 · doi: 10.48550/arxiv.1805.04245 · pith_short_12: R52Z7YTRVTQ5 · pith_short_16: R52Z7YTRVTQ5NMYU · pith_short_8: R52Z7YTR

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/R52Z7YTRVTQ5NMYUM6ZARFF6AC \
  | 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: 8f759fe271ace1d6b31467b20894be008c2ce8bbecddc98d587fe024e70bce8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87f7fc9f48ed3e32bfe3bb711f70fcb802cfd1fd717dba293342a51db4f7cecf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-11T06:05:47Z",
    "title_canon_sha256": "b49652478251034e164d6e0d32698a498e4761ab6858a223c5b38d77a9a6dc97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04245",
    "kind": "arxiv",
    "version": 2
  }
}