Pith Number

pith:7O6CAMVK

pith:2016:7O6CAMVKS4QNPRQ7CBLJH2SUMX

not attested not anchored not stored refs pending

The Phase Transition in 5 Point Energy Minimization

Richard Evan Schwartz

arxiv:1610.03303 v3 · 2016-10-11 · 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{7O6CAMVKS4QNPRQ7CBLJH2SUMX}

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	2026-05-18T00:57:37.297194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbbc2032aa9720d7c61f105693ea5465cee46cca79211330c12bdf9aec27144f

Aliases

arxiv: 1610.03303 · arxiv_version: 1610.03303v3 · doi: 10.48550/arxiv.1610.03303 · pith_short_12: 7O6CAMVKS4QN · pith_short_16: 7O6CAMVKS4QNPRQ7 · pith_short_8: 7O6CAMVK

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/7O6CAMVKS4QNPRQ7CBLJH2SUMX \
  | 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: fbbc2032aa9720d7c61f105693ea5465cee46cca79211330c12bdf9aec27144f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95f906639d7fe4a3fa1d6c42e5fe69541dba7203e5fca14cb13622fca3b70f0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-11T12:28:11Z",
    "title_canon_sha256": "1edf06d90776e74e4b4d019a76de29cbde8be59ed60c67eb16900e3ca7a163f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03303",
    "kind": "arxiv",
    "version": 3
  }
}