Pith Number

pith:ZEN4BIQ3

pith:2010:ZEN4BIQ3H5CPMBMZ6KNBDVYPML

not attested not anchored not stored refs pending

The Spectrum of the Force-Based Quasicontinuum Operator for a Homogeneous Periodic Chain

Alexander V. Shapeev, Christoph Ortner, Matthew Dobson

arxiv:1004.3435 v1 · 2010-04-20 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEN4BIQ3H5CPMBMZ6KNBDVYPML}

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	2026-06-03T23:06:36.046504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91bc0a21b3f44f60599f29a11d70f62f7a1e86caeade1d9864d20e370a18717

Aliases

arxiv: 1004.3435 · arxiv_version: 1004.3435v1 · doi: 10.48550/arxiv.1004.3435 · pith_short_12: ZEN4BIQ3H5CP · pith_short_16: ZEN4BIQ3H5CPMBMZ · pith_short_8: ZEN4BIQ3

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/ZEN4BIQ3H5CPMBMZ6KNBDVYPML \
  | 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: c91bc0a21b3f44f60599f29a11d70f62f7a1e86caeade1d9864d20e370a18717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37fc01d50fade9ea56399cff6c3802eca19658bd06244ad76a085d05c03d816e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-04-20T13:01:44Z",
    "title_canon_sha256": "8eb7c2d16f14ea3e74c9c21000fac7fa0a7f210d62a3c32362522a917246426e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3435",
    "kind": "arxiv",
    "version": 1
  }
}