Pith Number

pith:R5VWJSBP

pith:2016:R5VWJSBP7WPKDJ6ZPXQNVGX2PF

not attested not anchored not stored refs pending

Conformal graph directed Markov systems on Carnot groups

Jeremy T. Tyson, Mariusz Urba\'nski, Vasilis Chousionis

arxiv:1605.01127 v1 · 2016-05-04 · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5VWJSBP7WPKDJ6ZPXQNVGX2PF}

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	2026-05-18T01:15:37.757694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f6b64c82ffd9ea1a7d97de0da9afa79518941aaf9bce4ffe5f9bdf0264066fc

Aliases

arxiv: 1605.01127 · arxiv_version: 1605.01127v1 · doi: 10.48550/arxiv.1605.01127 · pith_short_12: R5VWJSBP7WPK · pith_short_16: R5VWJSBP7WPKDJ6Z · pith_short_8: R5VWJSBP

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/R5VWJSBP7WPKDJ6ZPXQNVGX2PF \
  | 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: 8f6b64c82ffd9ea1a7d97de0da9afa79518941aaf9bce4ffe5f9bdf0264066fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca90ab2db0c77328244dbdc43837050869c0b99fb950324ba431653c5eaa0e0e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-04T02:03:06Z",
    "title_canon_sha256": "4a048c33d5483df8b51552774cd1650eb336715dc132685744655b0e9ba3f9f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01127",
    "kind": "arxiv",
    "version": 1
  }
}