Pith Number

pith:ODDDK2VR

pith:2013:ODDDK2VRZDTPID62GUOI6XHKJZ

not attested not anchored not stored refs pending

On an aggregation in birth-and-death stochastic dynamics

Dmitri Finkelshtein, Elena Zhizhina, Oleksandr Kutoviy, Yuri Kondratiev

arxiv:1312.0076 v1 · 2013-11-30 · math-ph · math.DS · math.MP · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODDDK2VRZDTPID62GUOI6XHKJZ}

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	2026-05-18T01:46:04.617256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70c6356ab1c8e6f40fda351c8f5cea4e4da681e4f1b429bd5a3af04f6b1b9067

Aliases

arxiv: 1312.0076 · arxiv_version: 1312.0076v1 · doi: 10.48550/arxiv.1312.0076 · pith_short_12: ODDDK2VRZDTP · pith_short_16: ODDDK2VRZDTPID62 · pith_short_8: ODDDK2VR

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/ODDDK2VRZDTPID62GUOI6XHKJZ \
  | 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: 70c6356ab1c8e6f40fda351c8f5cea4e4da681e4f1b429bd5a3af04f6b1b9067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fcce2451c5d31c137e55710ac374a1dd5b0286b13ac53861127214441ec2464",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-30T08:34:37Z",
    "title_canon_sha256": "e3c4eff74509bdb2a21d59375f34c6e98dcb9f72b1b2ea42f86b7e609e9f5ad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0076",
    "kind": "arxiv",
    "version": 1
  }
}