Pith Number

pith:QGRA4QNE

pith:2013:QGRA4QNEOY6Z2KYIUUTAOKEIHY

not attested not anchored not stored refs pending

Markov chain aggregation and its applications to combinatorial reaction networks

Arnab Ganguly, Heinz Koeppl, Tatjana Petrov

arxiv:1303.4532 v2 · 2013-03-19 · cs.DM · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGRA4QNEOY6Z2KYIUUTAOKEIHY}

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	2026-05-18T03:30:25.032481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a20e41a4763d9d2b08a5260728883e3ff19cdb6e915bc4416bef0eee9a2575

Aliases

arxiv: 1303.4532 · arxiv_version: 1303.4532v2 · doi: 10.48550/arxiv.1303.4532 · pith_short_12: QGRA4QNEOY6Z · pith_short_16: QGRA4QNEOY6Z2KYI · pith_short_8: QGRA4QNE

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/QGRA4QNEOY6Z2KYIUUTAOKEIHY \
  | 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: 81a20e41a4763d9d2b08a5260728883e3ff19cdb6e915bc4416bef0eee9a2575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aacb4c0c7c184086f1a316a90ac586eea4c8073b190b6a64b3d1e89b30c216db",
    "cross_cats_sorted": [
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-03-19T10:10:59Z",
    "title_canon_sha256": "300c6660dc80db62d0ca7ecc5fbca78fc50c682a0e500f427e7d132625393bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4532",
    "kind": "arxiv",
    "version": 2
  }
}