Pith Number

pith:6DVHRNZL

pith:2017:6DVHRNZLUECSPDGIPXV2LSK44M

not attested not anchored not stored refs pending

Optimal control for a conserved phase field system with a possibly singular potential

E. Rocca, G. Gilardi, G. Marinoschi, P. Colli

arxiv:1709.02269 v2 · 2017-09-06 · 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{6DVHRNZLUECSPDGIPXV2LSK44M}

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	2026-05-18T00:35:40.556602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0ea78b72ba105278cc87deba5c95ce3048ce0652b71f18143809070edc356bd

Aliases

arxiv: 1709.02269 · arxiv_version: 1709.02269v2 · doi: 10.48550/arxiv.1709.02269 · pith_short_12: 6DVHRNZLUECS · pith_short_16: 6DVHRNZLUECSPDGI · pith_short_8: 6DVHRNZL

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/6DVHRNZLUECSPDGIPXV2LSK44M \
  | 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: f0ea78b72ba105278cc87deba5c95ce3048ce0652b71f18143809070edc356bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bba4028fce3b2c6dfe0ca53d49b66b9955242613209d87e8a27220b9cfa0f9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-06T13:20:27Z",
    "title_canon_sha256": "c22e1ab6f09fdfe543703db4b012370b25d5f3e905efdbd7a0abe2768ade4c91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02269",
    "kind": "arxiv",
    "version": 2
  }
}