Pith Number

pith:2DB7NEQN

pith:2022:2DB7NEQNXHXJNJ6Z32PL7DGEBB

not attested not anchored not stored refs pending

Entropic trust region for densest crystallographic symmetry group packings

John Y. Goulermas, Miloslav Torda, Roland P\'u\v{c}ek, Vitaliy Kurlin

arxiv:2202.11959 v3 · 2022-02-24 · math.OC · cond-mat.mtrl-sci · cs.IT · cs.NE · math.IT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DB7NEQNXHXJNJ6Z32PL7DGEBB}

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	2026-07-05T05:43:10.027539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0c3f6920db9ee96a7d9de9ebf8cc4085478fc3a00fd12d7e008e17d4407fbd0

Aliases

arxiv: 2202.11959 · arxiv_version: 2202.11959v3 · doi: 10.48550/arxiv.2202.11959 · pith_short_12: 2DB7NEQNXHXJ · pith_short_16: 2DB7NEQNXHXJNJ6Z · pith_short_8: 2DB7NEQN

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/2DB7NEQNXHXJNJ6Z32PL7DGEBB \
  | 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: d0c3f6920db9ee96a7d9de9ebf8cc4085478fc3a00fd12d7e008e17d4407fbd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5357289474e8e1a0094ff4c3dbf06e9ee40d8fd5b691ec0db171708dfd9e904",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "cs.IT",
      "cs.NE",
      "math.IT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-02-24T08:39:07Z",
    "title_canon_sha256": "e6a818b475010c840919bf2e6a41ba09c0d9bdf258efdd3e038c1108416b7e3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.11959",
    "kind": "arxiv",
    "version": 3
  }
}