Pith Number

pith:RCTPHQKW

pith:2017:RCTPHQKWYSKTQR2NZIEBPMI3IQ

not attested not anchored not stored refs pending

Phase field approach to optimal packing problems and related Cheeger clusters

Beniamin Bogosel, Dorin Bucur, Ilaria Fragala

arxiv:1706.05506 v1 · 2017-06-17 · 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{RCTPHQKWYSKTQR2NZIEBPMI3IQ}

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	2026-05-18T00:42:09.638600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88a6f3c156c49538474dca0817b11b440ede8930c357b5d02dc546160ef24e64

Aliases

arxiv: 1706.05506 · arxiv_version: 1706.05506v1 · doi: 10.48550/arxiv.1706.05506 · pith_short_12: RCTPHQKWYSKT · pith_short_16: RCTPHQKWYSKTQR2N · pith_short_8: RCTPHQKW

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/RCTPHQKWYSKTQR2NZIEBPMI3IQ \
  | 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: 88a6f3c156c49538474dca0817b11b440ede8930c357b5d02dc546160ef24e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61f2dbeac16b684d3a5a2227c9d865be889a81b28859d0d5736a4081eb89feb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-06-17T09:42:02Z",
    "title_canon_sha256": "01708561627455dd4cfff79c130af21c27bb1e8e403e4e20e72e09bb0c7bbbf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05506",
    "kind": "arxiv",
    "version": 1
  }
}