Pith Number

pith:H4ENYFBM

pith:2011:H4ENYFBM2XSZATPVVNT5IPBN4W

not attested not anchored not stored refs pending

Smooth particle methods without smoothing

Martin Campos Pinto

arxiv:1112.1859 v3 · 2011-12-08 · math.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{H4ENYFBM2XSZATPVVNT5IPBN4W}

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	2026-05-18T03:17:00.457886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f08dc142cd5e5904df5ab67d43c2de5a34c6d11afc2dc7fed1b3ffe0332b8f7

Aliases

arxiv: 1112.1859 · arxiv_version: 1112.1859v3 · doi: 10.48550/arxiv.1112.1859 · pith_short_12: H4ENYFBM2XSZ · pith_short_16: H4ENYFBM2XSZATPV · pith_short_8: H4ENYFBM

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/H4ENYFBM2XSZATPVVNT5IPBN4W \
  | 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: 3f08dc142cd5e5904df5ab67d43c2de5a34c6d11afc2dc7fed1b3ffe0332b8f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad77f3b93b2196fb7a68bfd5245cd79dcdaa5eb9943a55236a88508c562ea335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-12-08T15:30:30Z",
    "title_canon_sha256": "ff7aa008f05d647348ab8910690b2b3c6834b0c5a943a45c1e94f9ac5e9e6137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1859",
    "kind": "arxiv",
    "version": 3
  }
}