Pith Number

pith:D6RRZ624

pith:2011:D6RRZ6247M5EAS4XXWBNSKFVWW

not attested not anchored not stored refs pending

Distributed optimal control of a nonstandard system of phase field equations

Gianni Gilardi, J\"urgen Sprekels, Paolo Podio-Guidugli, Pierluigi Colli

arxiv:1106.3668 v1 · 2011-06-18 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6RRZ6247M5EAS4XXWBNSKFVWW}

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	2026-05-18T02:01:35.258597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fa31cfb5cfb3a404b97bd82d928b5b59e306ff72dabb6d8c6f093792ad2dad7

Aliases

arxiv: 1106.3668 · arxiv_version: 1106.3668v1 · doi: 10.48550/arxiv.1106.3668 · pith_short_12: D6RRZ6247M5E · pith_short_16: D6RRZ6247M5EAS4X · pith_short_8: D6RRZ624

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/D6RRZ6247M5EAS4XXWBNSKFVWW \
  | 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: 1fa31cfb5cfb3a404b97bd82d928b5b59e306ff72dabb6d8c6f093792ad2dad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fea09291cc246ac47ca77228e5218e6324c4167e134284bf9761d82bf730e48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-18T16:44:25Z",
    "title_canon_sha256": "50d7b37601ee9cff3fc3bbb008599c0aac72ac0e1b997ca2e8d4589d22157792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3668",
    "kind": "arxiv",
    "version": 1
  }
}