Pith Number

pith:KS4B4BD6

pith:2013:KS4B4BD646BB2JPPKGORQWHSVX

not attested not anchored not stored refs pending

Neutral Backward Stochastic Functional Differential Equations and Their Application

Wenning Wei

arxiv:1301.3081 v1 · 2013-01-14 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KS4B4BD646BB2JPPKGORQWHSVX}

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	2026-05-18T03:36:27.506491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b81e047ee7821d25ef519d1858f2adf6df67d0535256d5a22e3fc2c11c4243

Aliases

arxiv: 1301.3081 · arxiv_version: 1301.3081v1 · doi: 10.48550/arxiv.1301.3081 · pith_short_12: KS4B4BD646BB · pith_short_16: KS4B4BD646BB2JPP · pith_short_8: KS4B4BD6

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/KS4B4BD646BB2JPPKGORQWHSVX \
  | 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: 54b81e047ee7821d25ef519d1858f2adf6df67d0535256d5a22e3fc2c11c4243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "951fd27ab121b0585e50ad273528deb4a18a20831b608e9d9a22b7ac77d27dd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-01-14T18:11:34Z",
    "title_canon_sha256": "34539080e35426bfb4ba9b706461b653557f112127041a2fa1e9cb562e1c5334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3081",
    "kind": "arxiv",
    "version": 1
  }
}