Pith Number

pith:QFZQ24RI

pith:2015:QFZQ24RIH52ONNXMUT2YDBYS7I

not attested not anchored not stored refs pending

Forward-Backward Evolution Equations and Applications

Jiongmin Yong

arxiv:1508.03550 v1 · 2015-08-14 · 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{QFZQ24RIH52ONNXMUT2YDBYS7I}

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.

Cited by

1 paper in Pith

Solvability of an Operator Riccati Integral Equation in a Reflexive Banach Space

Receipt and verification

First computed	2026-05-18T01:35:17.412175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81730d72283f74e6b6eca4f5818712fa2afbecf27a6e624bfbbdff48698508b2

Aliases

arxiv: 1508.03550 · arxiv_version: 1508.03550v1 · doi: 10.48550/arxiv.1508.03550 · pith_short_12: QFZQ24RIH52O · pith_short_16: QFZQ24RIH52ONNXM · pith_short_8: QFZQ24RI

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/QFZQ24RIH52ONNXMUT2YDBYS7I \
  | 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: 81730d72283f74e6b6eca4f5818712fa2afbecf27a6e624bfbbdff48698508b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f96153d6b7cfc63a7fefe5a1abb6103cf4bdae55648ac7cc5a04c56a3dc7a7ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-14T15:40:32Z",
    "title_canon_sha256": "90b5b1edaf4170b9e70afd3bdc703b971456c76f07c90185b978a41ad1acccdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03550",
    "kind": "arxiv",
    "version": 1
  }
}