Pith Number

pith:B4DINC6T

pith:2019:B4DINC6TIF7IVFUPI2FM7AOSSJ

not attested not anchored not stored refs pending

Multiscale modelling of microscale heterogeneous systems: analysis supports systematic and efficient macroscale modelling and simulation

A.J. Roberts

arxiv:1907.09685 v1 · 2019-07-19 · 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{B4DINC6TIF7IVFUPI2FM7AOSSJ}

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	2026-05-17T23:39:50.409650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f06868bd3417e8a968f468acf81d29245395ed76ed1cf6c61e7eebecb7f845c

Aliases

arxiv: 1907.09685 · arxiv_version: 1907.09685v1 · doi: 10.48550/arxiv.1907.09685 · pith_short_12: B4DINC6TIF7I · pith_short_16: B4DINC6TIF7IVFUP · pith_short_8: B4DINC6T

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/B4DINC6TIF7IVFUPI2FM7AOSSJ \
  | 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: 0f06868bd3417e8a968f468acf81d29245395ed76ed1cf6c61e7eebecb7f845c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db6716766eb0d360779efc34650713c0c45b0f1727c29ccd67797b0ab0274bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-07-19T02:15:50Z",
    "title_canon_sha256": "c51b6226d683acb1374521907517db248426427c647a65ae043f5d9d1aa103cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09685",
    "kind": "arxiv",
    "version": 1
  }
}