Pith Number

pith:WX2V5GYB

pith:2011:WX2V5GYB7Z56SK2PXUJZPXAA74

not attested not anchored not stored refs pending

Optimal control for stochastic heat equation with memory

E. Mastrogiacomo, F. Cconfortola

arxiv:1112.0701 v1 · 2011-12-03 · 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{WX2V5GYB7Z56SK2PXUJZPXAA74}

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	2026-05-18T04:07:05.874258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5f55e9b01fe7be92b4fbd1397dc00ff20128881f36353d7d32204129852ab2c

Aliases

arxiv: 1112.0701 · arxiv_version: 1112.0701v1 · doi: 10.48550/arxiv.1112.0701 · pith_short_12: WX2V5GYB7Z56 · pith_short_16: WX2V5GYB7Z56SK2P · pith_short_8: WX2V5GYB

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/WX2V5GYB7Z56SK2PXUJZPXAA74 \
  | 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: b5f55e9b01fe7be92b4fbd1397dc00ff20128881f36353d7d32204129852ab2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8692513dbe5de19d547ddb17fb033062461d792805ebf37ae1ddace885c62603",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-03T23:18:45Z",
    "title_canon_sha256": "9608ee24898b8024652e3b60208c26740133298031ccad0307c58378db1a5a69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0701",
    "kind": "arxiv",
    "version": 1
  }
}