Pith Number

pith:NB3NKA5C

pith:2026:NB3NKA5CZTX7HWAAE7JXUWWMUD

not attested not anchored not stored refs pending

Occupation Ideals and Parikh Images in Markov Support Dynamics

Luis Pousa

arxiv:2606.21286 v1 · 2026-06-19 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NB3NKA5CZTX7HWAAE7JXUWWMUD}

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	2026-06-23T01:12:35.927338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6876d503a2cceff3d80027d37a5acca0c32362e37dec1c79ed0c9b6fdaa18155

Aliases

arxiv: 2606.21286 · arxiv_version: 2606.21286v1 · doi: 10.48550/arxiv.2606.21286 · pith_short_12: NB3NKA5CZTX7 · pith_short_16: NB3NKA5CZTX7HWAA · pith_short_8: NB3NKA5C

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/NB3NKA5CZTX7HWAAE7JXUWWMUD \
  | 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: 6876d503a2cceff3d80027d37a5acca0c32362e37dec1c79ed0c9b6fdaa18155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45dadaa7adcb365cca31c44eb5081ea141069d51cc78cd85b85382852d63710f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-19T10:11:08Z",
    "title_canon_sha256": "b9510a33a6be58bb84bcf36153916d6e2ca25fc1208270b0b426b375f91e9e7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21286",
    "kind": "arxiv",
    "version": 1
  }
}