Pith Number

pith:QRU6ZCCO

pith:2012:QRU6ZCCOPCQO4TY6ZYXP7FV2XP

not attested not anchored not stored refs pending

Conservation laws in the modeling of moving crowds

Magali L\'ecureux-Mercier (TECHNION), Mauro Garavello (DISTA), Nikolay Pogodaev (ISDCT), Rinaldo M. Colombo

arxiv:1211.0408 v1 · 2012-11-02 · 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{QRU6ZCCOPCQO4TY6ZYXP7FV2XP}

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	2026-05-18T03:41:41.108094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8469ec884e78a0ee4f1ece2eff96babbc6cba43ab1b2ab3dd08921d1507e3153

Aliases

arxiv: 1211.0408 · arxiv_version: 1211.0408v1 · doi: 10.48550/arxiv.1211.0408 · pith_short_12: QRU6ZCCOPCQO · pith_short_16: QRU6ZCCOPCQO4TY6 · pith_short_8: QRU6ZCCO

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/QRU6ZCCOPCQO4TY6ZYXP7FV2XP \
  | 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: 8469ec884e78a0ee4f1ece2eff96babbc6cba43ab1b2ab3dd08921d1507e3153

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86c1f896446bbbdb47704dac752688fb9c34a4cc69d34e0ef1fd3ca41296a5a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-02T10:22:00Z",
    "title_canon_sha256": "2730291fd2c49cd26f904bfd2fb64a08342bbe5f99261ab3285a4c80e49be1eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0408",
    "kind": "arxiv",
    "version": 1
  }
}