Pith Number

pith:RRGXJWPF

pith:2016:RRGXJWPFJIYB55MLFBEMOSGB75

not attested not anchored not stored refs pending

Observability Inequality of Backward Stochastic Heat Equations for Measurable Sets and Its Applications

Donghui Yang, Jie Zhong

arxiv:1604.03672 v1 · 2016-04-13 · 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{RRGXJWPFJIYB55MLFBEMOSGB75}

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	2026-05-18T01:17:11.985735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c4d74d9e54a301ef58b2848c748c1ff5cd952215599bea26dd1c87113cffe69

Aliases

arxiv: 1604.03672 · arxiv_version: 1604.03672v1 · doi: 10.48550/arxiv.1604.03672 · pith_short_12: RRGXJWPFJIYB · pith_short_16: RRGXJWPFJIYB55ML · pith_short_8: RRGXJWPF

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/RRGXJWPFJIYB55MLFBEMOSGB75 \
  | 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: 8c4d74d9e54a301ef58b2848c748c1ff5cd952215599bea26dd1c87113cffe69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c24c2e895d471fd57ca4d5aa884e4b99c7c7ddd85124cfa1ce34afb5d565f6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-13T06:50:20Z",
    "title_canon_sha256": "22c00b6fc3a757d704b67f656e5319eb3b4f8fa8b1cb66faa24f6431f5435ba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03672",
    "kind": "arxiv",
    "version": 1
  }
}