Pith Number

pith:XUZDNOIP

pith:2016:XUZDNOIP5XWVJ3NEP4NRV2JL2Y

not attested not anchored not stored refs pending

Interactions beyond nearest neighbours and rigidity of discrete energies: a compactness result and an application to dimension reduction

Giuliano Lazzaroni, Mariapia Palombaro, Roberto Alicandro

arxiv:1601.05968 v2 · 2016-01-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUZDNOIP5XWVJ3NEP4NRV2JL2Y}

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	2026-05-18T01:20:55.450660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd3236b90feded54eda47f1b1ae92bd624c8ed9df5ced393ef25f2bf38af5f16

Aliases

arxiv: 1601.05968 · arxiv_version: 1601.05968v2 · doi: 10.48550/arxiv.1601.05968 · pith_short_12: XUZDNOIP5XWV · pith_short_16: XUZDNOIP5XWVJ3NE · pith_short_8: XUZDNOIP

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/XUZDNOIP5XWVJ3NEP4NRV2JL2Y \
  | 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: bd3236b90feded54eda47f1b1ae92bd624c8ed9df5ced393ef25f2bf38af5f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0babef1f880f9330a4239dac2e1785d85e0c520424091aa41db4031f9d49790",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-22T11:56:15Z",
    "title_canon_sha256": "afe50f1da7e06abedc5c84cb4bc2a87a2fe83cd559312b728873004b1a308049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05968",
    "kind": "arxiv",
    "version": 2
  }
}