Pith Number

pith:WZMPUQMD

pith:2013:WZMPUQMDNKZK7XSDITOY2YDQG5

not attested not anchored not stored refs pending

Implicit Methods for Equation-Free Analysis: Convergence Results and Analysis of Emergent Waves in Microscopic Traffic Models

Atsushi Kawamoto, Christian Marschler, Jan Sieber, Jens Starke, Rainer Berkemer

arxiv:1301.6044 v4 · 2013-01-25 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZMPUQMDNKZK7XSDITOY2YDQG5}

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	2026-05-18T01:36:04.241162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b658fa41836ab2afde4344dd8d60703759d81730dc9265be80f8a77883fad91c

Aliases

arxiv: 1301.6044 · arxiv_version: 1301.6044v4 · doi: 10.48550/arxiv.1301.6044 · pith_short_12: WZMPUQMDNKZK · pith_short_16: WZMPUQMDNKZK7XSD · pith_short_8: WZMPUQMD

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/WZMPUQMDNKZK7XSDITOY2YDQG5 \
  | 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: b658fa41836ab2afde4344dd8d60703759d81730dc9265be80f8a77883fad91c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0d4639930aeb263a2fc94d8750052e4c8351a94030e79f014cc9a8ce03e3df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-25T14:11:30Z",
    "title_canon_sha256": "c5c3ad3019a56a4f4cc782bc97ad3c27fb5056a74b2eab59277cd998c87ef40c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6044",
    "kind": "arxiv",
    "version": 4
  }
}