Pith Number

pith:VMOBIY7U

pith:2009:VMOBIY7UZSOK26SBHZT6TUHQBM

not attested not anchored not stored refs pending

An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation

Matthew Dobson, Mitchell Luskin

arxiv:0901.4745 v1 · 2009-01-29 · math.NA · cs.NA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMOBIY7UZSOK26SBHZT6TUHQBM}

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	2026-06-03T23:06:10.749350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1c1463f4cc9cad7a413e67e9d0f00b2e925dfff29e55b56dae2854e7424d01

Aliases

arxiv: 0901.4745 · arxiv_version: 0901.4745v1 · doi: 10.48550/arxiv.0901.4745 · pith_short_12: VMOBIY7UZSOK · pith_short_16: VMOBIY7UZSOK26SB · pith_short_8: VMOBIY7U

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/VMOBIY7UZSOK26SBHZT6TUHQBM \
  | 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: ab1c1463f4cc9cad7a413e67e9d0f00b2e925dfff29e55b56dae2854e7424d01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "161e840991194d988162b64ce42a35ea78c616f735d713cedeb30899430150b4",
    "cross_cats_sorted": [
      "cs.NA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-01-29T18:34:49Z",
    "title_canon_sha256": "84246aceffff11e9c58badda6d01ab5e41dacf5f39f173a3a7565bc7b66d6c5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4745",
    "kind": "arxiv",
    "version": 1
  }
}