Pith Number

pith:GXFJICQB

pith:2011:GXFJICQBGCY4PKIT42TTG3ITAT

not attested not anchored not stored refs pending

On measures of non-Markovianity: divisibility vs. backflow of information

Andrzej Kossakowski, \'Angel Rivas, Dariusz Chru\'sci\'nski

arxiv:1102.4318 v2 · 2011-02-21 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXFJICQBGCY4PKIT42TTG3ITAT}

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	2026-05-18T04:20:50.921997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ca940a0130b1c7a913e6a7336d1304d6c144a694d46ecd39539234e5d7441c

Aliases

arxiv: 1102.4318 · arxiv_version: 1102.4318v2 · doi: 10.48550/arxiv.1102.4318 · pith_short_12: GXFJICQBGCY4 · pith_short_16: GXFJICQBGCY4PKIT · pith_short_8: GXFJICQB

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/GXFJICQBGCY4PKIT42TTG3ITAT \
  | 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: 35ca940a0130b1c7a913e6a7336d1304d6c144a694d46ecd39539234e5d7441c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20abcc3a5a097800f49c3374a51453276a72dbd340be0c641a1d532d430e3fbd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-02-21T20:13:53Z",
    "title_canon_sha256": "74886ccdac410adabe0892a7dce6ce9e3e2962c5dcb111799a6e022bc0f8b431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4318",
    "kind": "arxiv",
    "version": 2
  }
}