Pith Number

pith:PBF7UZAW

pith:2026:PBF7UZAW4P6CAF5JIHXKWKYZIZ

not attested not anchored not stored refs pending

Markov Information Processes

Furkan Sezer

arxiv:2607.04308 v1 · 2026-07-05 · math.OC · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBF7UZAW4P6CAF5JIHXKWKYZIZ}

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	2026-07-07T02:19:07.873659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

784bfa6416e3fc2017a941eeab2b19466effe2fdae1a4cca6179034673da77d7

Aliases

arxiv: 2607.04308 · arxiv_version: 2607.04308v1 · doi: 10.48550/arxiv.2607.04308 · pith_short_12: PBF7UZAW4P6C · pith_short_16: PBF7UZAW4P6CAF5J · pith_short_8: PBF7UZAW

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/PBF7UZAW4P6CAF5JIHXKWKYZIZ \
  | 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: 784bfa6416e3fc2017a941eeab2b19466effe2fdae1a4cca6179034673da77d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c1d08812f86f00e1a7278bae21315c9662885651b4c01dc68955c4fe85cfb0b",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-05T13:46:06Z",
    "title_canon_sha256": "fec69b87d6788c280d3305d20f824d896476ead6bcb0cd243e6414a9d26493f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04308",
    "kind": "arxiv",
    "version": 1
  }
}