Pith Number

pith:DJZTW3MT

pith:2011:DJZTW3MTBGMMUY4SB3O2WPBX3Z

not attested not anchored not stored refs pending

Scaling and entropy in p-median facility location along a line

Michael T. Gastner

arxiv:1103.3301 v2 · 2011-03-16 · physics.soc-ph · cond-mat.stat-mech · cs.SI · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJZTW3MTBGMMUY4SB3O2WPBX3Z}

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	2026-05-18T04:05:05.345078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a733b6d930998ca63920eddab3c37de7faf0b0552971215be284e52912d37c5

Aliases

arxiv: 1103.3301 · arxiv_version: 1103.3301v2 · doi: 10.48550/arxiv.1103.3301 · pith_short_12: DJZTW3MTBGMM · pith_short_16: DJZTW3MTBGMMUY4S · pith_short_8: DJZTW3MT

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/DJZTW3MTBGMMUY4SB3O2WPBX3Z \
  | 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: 1a733b6d930998ca63920eddab3c37de7faf0b0552971215be284e52912d37c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7094a8cdd24288828282d3b85f10033b6800eab9ab7ff0848572124d30d2d653",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.SI",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-03-16T21:35:40Z",
    "title_canon_sha256": "34a35fbafe35d3f4c8c13fda3a8a3a28df81f7ba3746d2a31599bf9dd0d84efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3301",
    "kind": "arxiv",
    "version": 2
  }
}