Pith Number

pith:22ZH7IGR

pith:2018:22ZH7IGR4MP3CKC6G624H6FYLI

not attested not anchored not stored refs pending

Realizability and Internal Model Control on Networks

Anders Rantzer

arxiv:1812.07748 v2 · 2018-12-19 · 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{22ZH7IGR4MP3CKC6G624H6FYLI}

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	2026-05-17T23:49:50.397304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b27fa0d1e31fb1285e37b5c3f8b85a36d3a4eda868b33ac5cb6ddc02a1b619

Aliases

arxiv: 1812.07748 · arxiv_version: 1812.07748v2 · doi: 10.48550/arxiv.1812.07748 · pith_short_12: 22ZH7IGR4MP3 · pith_short_16: 22ZH7IGR4MP3CKC6 · pith_short_8: 22ZH7IGR

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/22ZH7IGR4MP3CKC6G624H6FYLI \
  | 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: d6b27fa0d1e31fb1285e37b5c3f8b85a36d3a4eda868b33ac5cb6ddc02a1b619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24b0fae04a05ee1511d2688f84d9ac82954a0aeb15d49b0e9443ac5d60d3aa68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-12-19T04:15:52Z",
    "title_canon_sha256": "778e6ea93de4d65f4e9d99b4de4da3b22b5189655e7a1f5fc5e582bb3acaad2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07748",
    "kind": "arxiv",
    "version": 2
  }
}