Pith Number

pith:3VMZB746

pith:2019:3VMZB7464FBWGGGDRJTS7LP2Z7

not attested not anchored not stored refs pending

Solvability of finite state forward-backward stochastic difference equations

Haodong Liu, Shaolin Ji

arxiv:1907.03231 v1 · 2019-07-07 · 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{3VMZB7464FBWGGGDRJTS7LP2Z7}

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	2026-05-17T23:41:16.815867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5990ff9ee1436318c38a672fadfacfe0ea06ef6a4f090635b788cf92e9832e

Aliases

arxiv: 1907.03231 · arxiv_version: 1907.03231v1 · doi: 10.48550/arxiv.1907.03231 · pith_short_12: 3VMZB7464FBW · pith_short_16: 3VMZB7464FBWGGGD · pith_short_8: 3VMZB746

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/3VMZB7464FBWGGGDRJTS7LP2Z7 \
  | 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: dd5990ff9ee1436318c38a672fadfacfe0ea06ef6a4f090635b788cf92e9832e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9c357a9ba2cb780c36af7eda126791104a23ba66911b54fb9cbfc0ef93a2a60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-07T06:34:31Z",
    "title_canon_sha256": "89de0928a289742510cd85933bfb7d698985f20cd7e49604c31c38e0b44d4888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03231",
    "kind": "arxiv",
    "version": 1
  }
}