Pith Number

pith:AIR52WFK

pith:2013:AIR52WFK66VWHOEXI5GR2RAXBY

not attested not anchored not stored refs pending

Dynamic Limit Growth Indices in Discrete Time

Igor Cialenco, Marcin Pitera, Tomasz R. Bielecki

arxiv:1312.1006 v2 · 2013-12-04 · q-fin.RM · 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{AIR52WFK66VWHOEXI5GR2RAXBY}

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	2026-05-18T02:47:15.836114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0223dd58aaf7ab63b897474d1d44170e32723a1b8d4bd01c4378e25d3e7ba324

Aliases

arxiv: 1312.1006 · arxiv_version: 1312.1006v2 · doi: 10.48550/arxiv.1312.1006 · pith_short_12: AIR52WFK66VW · pith_short_16: AIR52WFK66VWHOEX · pith_short_8: AIR52WFK

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/AIR52WFK66VWHOEXI5GR2RAXBY \
  | 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: 0223dd58aaf7ab63b897474d1d44170e32723a1b8d4bd01c4378e25d3e7ba324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16d0df4d4bacf81dae6d2a05cb325f4bdc133e37a8f9469e2d44c22b293fe36b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2013-12-04T02:24:40Z",
    "title_canon_sha256": "d23cc5196b8b8e42bff26e600b6946b77f8d97367077670013f509481961cd0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1006",
    "kind": "arxiv",
    "version": 2
  }
}