Pith Number

pith:6BGLTPKP

pith:2013:6BGLTPKPZIDUEBMMTJVYTO5M4L

not attested not anchored not stored refs pending

On Backward Doubly Stochastic Differential Evolutionary System

Jinniao Qiu, Shanjian Tang

arxiv:1309.4152 v1 · 2013-09-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BGLTPKPZIDUEBMMTJVYTO5M4L}

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	2026-05-18T03:13:09.420638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f04cb9bd4fca0742058c9a6b89bbace2d316f193d33ee9590c06105ee9ecb977

Aliases

arxiv: 1309.4152 · arxiv_version: 1309.4152v1 · doi: 10.48550/arxiv.1309.4152 · pith_short_12: 6BGLTPKPZIDU · pith_short_16: 6BGLTPKPZIDUEBMM · pith_short_8: 6BGLTPKP

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/6BGLTPKPZIDUEBMMTJVYTO5M4L \
  | 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: f04cb9bd4fca0742058c9a6b89bbace2d316f193d33ee9590c06105ee9ecb977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ff87c2e1cfb5ac6146270d63fe1d285913e80075a1f42b68f519b5fe23f5d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-17T02:14:15Z",
    "title_canon_sha256": "f7fa835cd65b77186b44d4aa93b3482c1284f54349c14b70424db5862cc7e386"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4152",
    "kind": "arxiv",
    "version": 1
  }
}