Pith Number

pith:UBMCM4HW

pith:2017:UBMCM4HWUANGSYW5MOGNTXANDS

not attested not anchored not stored refs pending

An MBO scheme for minimizing the graph Ohta-Kawasaki functional

Yves van Gennip

arxiv:1711.04715 v1 · 2017-11-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBMCM4HWUANGSYW5MOGNTXANDS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:41:01.421937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0582670f6a01a6962dd638cd9dc0d1cb547ee45460cadd812489fb4d66216a1

Aliases

arxiv: 1711.04715 · arxiv_version: 1711.04715v1 · doi: 10.48550/arxiv.1711.04715 · pith_short_12: UBMCM4HWUANG · pith_short_16: UBMCM4HWUANGSYW5 · pith_short_8: UBMCM4HW

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/UBMCM4HWUANGSYW5MOGNTXANDS \
  | 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: a0582670f6a01a6962dd638cd9dc0d1cb547ee45460cadd812489fb4d66216a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae27cf23bcbe8bf669ab914861fae4f24d9d7cb1b345216f4a02190509312073",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-13T17:27:14Z",
    "title_canon_sha256": "4ad66d05c03ea44aea8039bb3e7e4489d6a71aab81463d91b45284ef7bfce735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04715",
    "kind": "arxiv",
    "version": 1
  }
}