Pith Number

pith:GFTFSSNB

pith:2012:GFTFSSNBGBSJU4QJIGMKUZF47Y

not attested not anchored not stored refs pending

Optimality of the triangular lattice for a particle system with Wasserstein interaction

D. P. Bourne, F. Theil, M. A. Peletier

arxiv:1212.6973 v3 · 2012-12-31 · math.AP · 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{GFTFSSNBGBSJU4QJIGMKUZF47Y}

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	2026-05-18T03:07:43.196994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31665949a130649a72094198aa64bcfe36752e9940b4a6cb8a224b2a49051b80

Aliases

arxiv: 1212.6973 · arxiv_version: 1212.6973v3 · doi: 10.48550/arxiv.1212.6973 · pith_short_12: GFTFSSNBGBSJ · pith_short_16: GFTFSSNBGBSJU4QJ · pith_short_8: GFTFSSNB

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/GFTFSSNBGBSJU4QJIGMKUZF47Y \
  | 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: 31665949a130649a72094198aa64bcfe36752e9940b4a6cb8a224b2a49051b80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "febb04f254d1773b9b5326ff683637931523bcd8e678710eb3ee3f76b7841f0c",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-31T20:57:40Z",
    "title_canon_sha256": "ea557c7c9ba4f9aadf97cb4da8819a39a141bc915f8b4ae7acfbdcd961df8b35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6973",
    "kind": "arxiv",
    "version": 3
  }
}