Pith Number

pith:7Q47SEE4

pith:2011:7Q47SEE4CTASA6RW7UPT3AN24O

not attested not anchored not stored refs pending

On Deterministic Markov Processes: Expandability and Related Topics

Alexander Schnurr

arxiv:1111.1912 v2 · 2011-11-08 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Q47SEE4CTASA6RW7UPT3AN24O}

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	2026-05-18T03:49:22.099999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc39f9109c14c1207a36fd1f3d81bae38fbede9138bc0a043c65d5bef1d24909

Aliases

arxiv: 1111.1912 · arxiv_version: 1111.1912v2 · doi: 10.48550/arxiv.1111.1912 · pith_short_12: 7Q47SEE4CTAS · pith_short_16: 7Q47SEE4CTASA6RW · pith_short_8: 7Q47SEE4

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/7Q47SEE4CTASA6RW7UPT3AN24O \
  | 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: fc39f9109c14c1207a36fd1f3d81bae38fbede9138bc0a043c65d5bef1d24909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02d395e8f89dfacbdc59d59a61d1ac427cc80d376caa898ecc37e5f7cab394c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-08T14:04:56Z",
    "title_canon_sha256": "c52a59984e768aac1e9dcb4521e49dfb37ac3b0f4d2a181ae07ab6dc0c10ab3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1912",
    "kind": "arxiv",
    "version": 2
  }
}