Pith Number

pith:G5OJPKYI

pith:2016:G5OJPKYIG6ZKJWQRSWL4WTGVZ6

not attested not anchored not stored refs pending

On the quantized dynamics of factorial languages

Christopher Barrett, Evgenios T.A. Kakariadis

arxiv:1611.06844 v3 · 2016-11-21 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5OJPKYIG6ZKJWQRSWL4WTGVZ6}

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	2026-05-18T00:08:00.979299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375c97ab0837b2a4da119597cb4cd5cf83c15062753f057ad2190ee67599d88f

Aliases

arxiv: 1611.06844 · arxiv_version: 1611.06844v3 · doi: 10.48550/arxiv.1611.06844 · pith_short_12: G5OJPKYIG6ZK · pith_short_16: G5OJPKYIG6ZKJWQR · pith_short_8: G5OJPKYI

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/G5OJPKYIG6ZKJWQRSWL4WTGVZ6 \
  | 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: 375c97ab0837b2a4da119597cb4cd5cf83c15062753f057ad2190ee67599d88f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3287579f20b119f0ab9689b043f70336d3cb1774be4d5988cd0cc5afd6c5f5fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-11-21T15:42:28Z",
    "title_canon_sha256": "c32a5ecc3723b412e3aba7c04d511d76eb389cfbd6a9c380f6f8a7408a510da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06844",
    "kind": "arxiv",
    "version": 3
  }
}