Pith Number

pith:UJT7IK6L

pith:2008:UJT7IK6LKWIPX7RTM4QWNNKJVF

not attested not anchored not stored refs pending

Analytical Calculation of Critical Perturbation Amplitudes and Critical Densities by Non-Linear Stability Analysis of a Simple Traffic Flow Model

Dirk Helbing, Mehdi Moussaid

arxiv:0807.4006 v1 · 2008-07-25 · 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{UJT7IK6LKWIPX7RTM4QWNNKJVF}

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	2026-07-04T17:11:58.754207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a267f42bcb5590fbfe33672166b549a95856542df7683ab48ef20a08a5d6fb42

Aliases

arxiv: 0807.4006 · arxiv_version: 0807.4006v1 · doi: 10.48550/arxiv.0807.4006 · pith_short_12: UJT7IK6LKWIP · pith_short_16: UJT7IK6LKWIPX7RT · pith_short_8: UJT7IK6L

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/UJT7IK6LKWIPX7RTM4QWNNKJVF \
  | 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: a267f42bcb5590fbfe33672166b549a95856542df7683ab48ef20a08a5d6fb42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6491eed554063f16b6185b4193b8ba06b5e24af1b885ad8aa8fcd1a478693b6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2008-07-25T06:58:11Z",
    "title_canon_sha256": "e2139f58a2b7acf86621bb0532e186e0e324668e7e338042f5d3935e36215398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4006",
    "kind": "arxiv",
    "version": 1
  }
}