Pith Number

pith:T7AW6BLL

pith:2007:T7AW6BLLDG5W65CNXWGIBG6RR6

not attested not anchored not stored refs pending

Goal-Oriented Adaptive Mesh Refinement for the Quasicontinuum Approximation of a Frenkel-Kontorova Model

Marcel Arndt, Mitchell Luskin

arxiv:0711.1876 v1 · 2007-11-12 · math.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7AW6BLLDG5W65CNXWGIBG6RR6}

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	2026-05-18T02:16:09.495637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fc16f056b19bb6f744dbd8c809bd18f9edb1baf4b2a2b6457f54c95fe277faa

Aliases

arxiv: 0711.1876 · arxiv_version: 0711.1876v1 · doi: 10.48550/arxiv.0711.1876 · pith_short_12: T7AW6BLLDG5W · pith_short_16: T7AW6BLLDG5W65CN · pith_short_8: T7AW6BLL

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/T7AW6BLLDG5W65CNXWGIBG6RR6 \
  | 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: 9fc16f056b19bb6f744dbd8c809bd18f9edb1baf4b2a2b6457f54c95fe277faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e2963161cffe15b02b4816611d083ff3344b5e25292cd559e642a3e1778aa30",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2007-11-12T22:06:11Z",
    "title_canon_sha256": "f8562b0afd28f47c2f05695a950020af10f786c3b1576cd70cf2f14d8cc72513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1876",
    "kind": "arxiv",
    "version": 1
  }
}