Pith Number

pith:PETCEC7O

pith:2012:PETCEC7OYOZL6AUS765XXOFENJ

not attested not anchored not stored refs pending

A model of the vicious cycle of a bus line

Asaf Bar-Yosef, Itzhak Benenson, Karel Martens

arxiv:1210.4198 v2 · 2012-10-15 · 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{PETCEC7OYOZL6AUS765XXOFENJ}

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	2026-05-18T03:40:02.669631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7926220beec3b2bf0292ffbb7bb8a46a4d5195b16e57194b7d2dc1dcc5b5ecca

Aliases

arxiv: 1210.4198 · arxiv_version: 1210.4198v2 · doi: 10.48550/arxiv.1210.4198 · pith_short_12: PETCEC7OYOZL · pith_short_16: PETCEC7OYOZL6AUS · pith_short_8: PETCEC7O

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/PETCEC7OYOZL6AUS765XXOFENJ \
  | 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: 7926220beec3b2bf0292ffbb7bb8a46a4d5195b16e57194b7d2dc1dcc5b5ecca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3065c04fa9dbd3c01d5d8d7082f76d1ea101e42b80158f6c59d540bd1d7a6aac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2012-10-15T21:25:07Z",
    "title_canon_sha256": "36c559a87a646c0c1cf9d630b0db47271a0c0267f588b163ce911bcbd9f729c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4198",
    "kind": "arxiv",
    "version": 2
  }
}