Pith Number

pith:7Z2CCIPV

pith:2010:7Z2CCIPV7RQTQPMIWEH3YTFVQS

not attested not anchored not stored refs pending

Multiscale modeling of granular flows with application to crowd dynamics

Andrea Tosin, Benedetto Piccoli, Emiliano Cristiani

arxiv:1006.0694 v1 · 2010-06-03 · math-ph · math.MP · math.NA · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Z2CCIPV7RQTQPMIWEH3YTFVQS}

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	2026-05-18T04:31:13.047599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe742121f5fc61383d88b10fbc4cb584a7a0bcfc9b43a124b413b345683c8dd2

Aliases

arxiv: 1006.0694 · arxiv_version: 1006.0694v1 · doi: 10.48550/arxiv.1006.0694 · pith_short_12: 7Z2CCIPV7RQT · pith_short_16: 7Z2CCIPV7RQTQPMI · pith_short_8: 7Z2CCIPV

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/7Z2CCIPV7RQTQPMIWEH3YTFVQS \
  | 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: fe742121f5fc61383d88b10fbc4cb584a7a0bcfc9b43a124b413b345683c8dd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50ef98376510b1ffbd702e6dc4893619dc39ee2a522507a9db7ba16b3e8a71ba",
    "cross_cats_sorted": [
      "math.MP",
      "math.NA",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-06-03T16:56:04Z",
    "title_canon_sha256": "78d76729282f78334b23d7794696127c6ef359862f29c59df5cf9e731065cf5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0694",
    "kind": "arxiv",
    "version": 1
  }
}