Pith Number

pith:G5XVRA3V

pith:2012:G5XVRA3VZZY3YYSAXHWTU2QNNA

not attested not anchored not stored refs pending

Particle in Cell (PIC): Error Estimates for Adaptive Grids

Juergen Geiser

arxiv:1206.0539 v2 · 2012-06-04 · 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{G5XVRA3VZZY3YYSAXHWTU2QNNA}

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	2026-05-18T03:49:19.586755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

376f588375ce71bc6240b9ed3a6a0d68348a518647da7b42b9f6bf53f64ef7cc

Aliases

arxiv: 1206.0539 · arxiv_version: 1206.0539v2 · doi: 10.48550/arxiv.1206.0539 · pith_short_12: G5XVRA3VZZY3 · pith_short_16: G5XVRA3VZZY3YYSA · pith_short_8: G5XVRA3V

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/G5XVRA3VZZY3YYSAXHWTU2QNNA \
  | 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: 376f588375ce71bc6240b9ed3a6a0d68348a518647da7b42b9f6bf53f64ef7cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "219edb76b8d0a751d647f2da0e2054fd8c02dc77883285cc4a7926058915cc96",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-06-04T08:06:48Z",
    "title_canon_sha256": "144a2a3b3f93a0a61b78eb9b69a3898a52fe3121c9ab9308a215f1d92776cb61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0539",
    "kind": "arxiv",
    "version": 2
  }
}