Pith Number

pith:CDTTVZOI

pith:2019:CDTTVZOILFQKK3W3QYVXCJPPBN

not attested not anchored not stored refs pending

Scaling functions for graph directed Markov systems

Daniel Ingebretson

arxiv:1901.04067 v1 · 2019-01-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDTTVZOILFQKK3W3QYVXCJPPBN}

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	2026-05-17T23:56:26.348658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10e73ae5c85960a56edb862b7125ef0b416f77484fc4822e0c6396821a0c929a

Aliases

arxiv: 1901.04067 · arxiv_version: 1901.04067v1 · doi: 10.48550/arxiv.1901.04067 · pith_short_12: CDTTVZOILFQK · pith_short_16: CDTTVZOILFQKK3W3 · pith_short_8: CDTTVZOI

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/CDTTVZOILFQKK3W3QYVXCJPPBN \
  | 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: 10e73ae5c85960a56edb862b7125ef0b416f77484fc4822e0c6396821a0c929a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd828a4037e73f637b276991f93e9ffd75855b7d7d291e63f76823e0194d63ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-13T21:22:52Z",
    "title_canon_sha256": "10eba5b0d35c96f7b6cf37e56bf22e294383ec94b8c235e72363aa87ed2097df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04067",
    "kind": "arxiv",
    "version": 1
  }
}