Pith Number

pith:5G4HCYEC

pith:2012:5G4HCYECRKD3NNJRABQVJOEFXM

not attested not anchored not stored refs pending

Adjoint-Based Optimal Control of Time-Dependent Free Boundary Problems

Jan Marburger

arxiv:1212.3789 v1 · 2012-12-16 · math.OC · cs.CE · cs.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{5G4HCYECRKD3NNJRABQVJOEFXM}

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	2026-05-18T03:11:57.829181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9b87160828a87b6b531006154b885bb2b399695158fb62e501ce68bb3853c87

Aliases

arxiv: 1212.3789 · arxiv_version: 1212.3789v1 · doi: 10.48550/arxiv.1212.3789 · pith_short_12: 5G4HCYECRKD3 · pith_short_16: 5G4HCYECRKD3NNJR · pith_short_8: 5G4HCYEC

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/5G4HCYECRKD3NNJRABQVJOEFXM \
  | 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: e9b87160828a87b6b531006154b885bb2b399695158fb62e501ce68bb3853c87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff49ef9555c7b806589a062b9b6955f33a02d5da514b23d92ca0c23da85c9b4",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-12-16T13:18:59Z",
    "title_canon_sha256": "7bf8a04e750fd7aa30d69fcf5978864792808d1e671e10d88683f0f6f768f538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3789",
    "kind": "arxiv",
    "version": 1
  }
}