Pith Number

pith:R3NI6IOH

pith:2016:R3NI6IOHAZPC2DJFXXQAQSZESZ

not attested not anchored not stored refs pending

Efficient spectral sparse grid approximations for solving multi-dimensional forward backward SDEs

Tao Zhou, Weidong Zhao, Yu Fu

arxiv:1607.06897 v1 · 2016-07-23 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3NI6IOHAZPC2DJFXXQAQSZESZ}

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	2026-05-18T01:10:35.519799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eda8f21c7065e2d0d25bde0084b24967d2c94f715f15af01098b0b29d3edebd

Aliases

arxiv: 1607.06897 · arxiv_version: 1607.06897v1 · doi: 10.48550/arxiv.1607.06897 · pith_short_12: R3NI6IOHAZPC · pith_short_16: R3NI6IOHAZPC2DJF · pith_short_8: R3NI6IOH

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/R3NI6IOHAZPC2DJFXXQAQSZESZ \
  | 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: 8eda8f21c7065e2d0d25bde0084b24967d2c94f715f15af01098b0b29d3edebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b6663d109ab1f4e3db58b487bd4d28c29fe785908e744d2c1953c7609929a42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-23T06:48:18Z",
    "title_canon_sha256": "909a4e6c24e6cf7e0ea8dd60f4d618bfa47cd3d38cbc94a85887107f7fe2658b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06897",
    "kind": "arxiv",
    "version": 1
  }
}