Pith Number

pith:7Z7QBV42

pith:2013:7Z7QBV42PXYHJELKW7QQA2YVUK

not attested not anchored not stored refs pending

Thresholds for shock formation in traffic flow models with Arrhenius look-ahead dynamics

Hailiang Liu, Yongki Lee

arxiv:1304.1562 v1 · 2013-04-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Z7QBV42PXYHJELKW7QQA2YVUK}

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	2026-05-18T03:28:55.424445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe7f00d79a7df074916ab7e1006b15a280720ddf1c2e853d9671950a26d0cf81

Aliases

arxiv: 1304.1562 · arxiv_version: 1304.1562v1 · doi: 10.48550/arxiv.1304.1562 · pith_short_12: 7Z7QBV42PXYH · pith_short_16: 7Z7QBV42PXYHJELK · pith_short_8: 7Z7QBV42

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/7Z7QBV42PXYHJELKW7QQA2YVUK \
  | 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: fe7f00d79a7df074916ab7e1006b15a280720ddf1c2e853d9671950a26d0cf81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b5bd5ab38617cfdf07d090c4d9a55dbbc8eeb655d7eabf8979add2d946c572c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-04T20:54:02Z",
    "title_canon_sha256": "1ddc4d264d89f6825511d19009665cee094c2b871021e8e743dca767861eee7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1562",
    "kind": "arxiv",
    "version": 1
  }
}