Pith Number

pith:O57XVB7K

pith:2009:O57XVB7KMDDD2O7XOO5TUDPSRC

not attested not anchored not stored refs pending

Backward stochastic dynamics on a filtered probability space

Gechun Liang, Terry Lyons, Zhongmin Qian

arxiv:0904.0377 v4 · 2009-04-02 · math.PR

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

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	2026-05-18T03:40:37.131513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

777f7a87ea60c63d3bf773bb3a0df2888b3e37ec6e66cd65c2504421b1ecac77

Aliases

arxiv: 0904.0377 · arxiv_version: 0904.0377v4 · doi: 10.48550/arxiv.0904.0377 · pith_short_12: O57XVB7KMDDD · pith_short_16: O57XVB7KMDDD2O7X · pith_short_8: O57XVB7K

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/O57XVB7KMDDD2O7XOO5TUDPSRC \
  | 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: 777f7a87ea60c63d3bf773bb3a0df2888b3e37ec6e66cd65c2504421b1ecac77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f185ae5e92a7d23d59565a34e4a5d9cbd6d54bb0a89950835acdb71132bb471",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-04-02T13:11:37Z",
    "title_canon_sha256": "8552e3ec0b8c305006f5d5fe393cef7f755582e0bc3dd302be379abeabceb0ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0377",
    "kind": "arxiv",
    "version": 4
  }
}