Pith Number

pith:BJFWO57A

pith:2016:BJFWO57AE5RE73U7K37OPJVO4W

not attested not anchored not stored refs pending

Immune Therapeutic Strategies Using Optimal Controls with $L^1$ and $L^2$ Type Objectives

Judy Day, Ouassim Bara, Seddik Djouadi, Suzanne Lenhart

arxiv:1610.06655 v2 · 2016-10-21 · 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{BJFWO57AE5RE73U7K37OPJVO4W}

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	2026-05-18T00:46:07.932440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a4b6777e027624fee9f56fee7a6aee5981c87aba05b505f4109d09a76cf1912

Aliases

arxiv: 1610.06655 · arxiv_version: 1610.06655v2 · doi: 10.48550/arxiv.1610.06655 · pith_short_12: BJFWO57AE5RE · pith_short_16: BJFWO57AE5RE73U7 · pith_short_8: BJFWO57A

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/BJFWO57AE5RE73U7K37OPJVO4W \
  | 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: 0a4b6777e027624fee9f56fee7a6aee5981c87aba05b505f4109d09a76cf1912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc734ff91f4281f2a0348532d6db1b6396fb97d57c673c8fdd398633ca743ad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-21T02:41:56Z",
    "title_canon_sha256": "05c24e25b63c74b52afccb8a9691f821e474f236ba551737130baa713207532d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06655",
    "kind": "arxiv",
    "version": 2
  }
}