Pith Number

pith:YVHHRRHQ

pith:2012:YVHHRRHQAZUBXXN5SKN6PY3MX4

not attested not anchored not stored refs pending

Energy minimisation of repelling particles on a toric grid

Jan Draisma, Johan van Leeuwaarden, Niek Bouman

arxiv:1203.0408 v1 · 2012-03-02 · 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{YVHHRRHQAZUBXXN5SKN6PY3MX4}

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	2026-05-18T04:01:00.897482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c54e78c4f006681bddbd929be7e36cbf270a4d055e6655a70413094a8b4190ea

Aliases

arxiv: 1203.0408 · arxiv_version: 1203.0408v1 · doi: 10.48550/arxiv.1203.0408 · pith_short_12: YVHHRRHQAZUB · pith_short_16: YVHHRRHQAZUBXXN5 · pith_short_8: YVHHRRHQ

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/YVHHRRHQAZUBXXN5SKN6PY3MX4 \
  | 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: c54e78c4f006681bddbd929be7e36cbf270a4d055e6655a70413094a8b4190ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe1778bd4420bd32c56ffc66d328315b5098237836dfe96f69ee7131bbb10836",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-03-02T10:24:22Z",
    "title_canon_sha256": "71071d47288c9fd304b0771719ffed4c5ca7487c4c9baabe38b818df809ef1e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0408",
    "kind": "arxiv",
    "version": 1
  }
}