Pith Number

pith:LCRQTL54

pith:2010:LCRQTL54HTHC2HYNHLSFHR7UGZ

not attested not anchored not stored refs pending

Reformulation of the Covering and Quantizer Problems as Ground States of Interacting Particles

S. Torquato

arxiv:1009.1443 v2 · 2010-09-08 · cond-mat.stat-mech · cond-mat.soft · 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{LCRQTL54HTHC2HYNHLSFHR7UGZ}

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	2026-05-18T02:05:35.265822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a309afbc3cce2d1f0d3ae453c7f436443a6aaa7f1b0884841e9ae7f9b3253c

Aliases

arxiv: 1009.1443 · arxiv_version: 1009.1443v2 · doi: 10.48550/arxiv.1009.1443 · pith_short_12: LCRQTL54HTHC · pith_short_16: LCRQTL54HTHC2HYN · pith_short_8: LCRQTL54

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/LCRQTL54HTHC2HYNHLSFHR7UGZ \
  | 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: 58a309afbc3cce2d1f0d3ae453c7f436443a6aaa7f1b0884841e9ae7f9b3253c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd0fa1833e67d38020716fcea209addcbcfd10fda67d4680fb2b18708897f83",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-09-08T02:37:55Z",
    "title_canon_sha256": "2a213e6da4f94ee2ad62510dde90c8c7162db2a03b3998e85576839d3c4379c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1443",
    "kind": "arxiv",
    "version": 2
  }
}