Pith Number

pith:ZT5R2EOT

pith:2016:ZT5R2EOTD25VEXUDAHQJCSFNXH

not attested not anchored not stored refs pending

Modeling Crowd Dynamics through Hyperbolic - Elliptic Equations

Maria Gokieli, Massimiliano D. Rosini, Rinaldo M. Colombo

arxiv:1610.07450 v1 · 2016-10-21 · 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{ZT5R2EOTD25VEXUDAHQJCSFNXH}

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	2026-05-18T01:01:30.083469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccfb1d11d31ebb525e8301e09148adb9fd30fb13875e67e1eb171af528d2fa7f

Aliases

arxiv: 1610.07450 · arxiv_version: 1610.07450v1 · doi: 10.48550/arxiv.1610.07450 · pith_short_12: ZT5R2EOTD25V · pith_short_16: ZT5R2EOTD25VEXUD · pith_short_8: ZT5R2EOT

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/ZT5R2EOTD25VEXUDAHQJCSFNXH \
  | 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: ccfb1d11d31ebb525e8301e09148adb9fd30fb13875e67e1eb171af528d2fa7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62cbaa4a2ed55d87d9119d359e7b80f52d64a2075f277bd6b2f3f5f47b45ee8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-21T07:08:33Z",
    "title_canon_sha256": "6c0df92ffe260cedb95cf56e9d9f5be76f9ad1fb38d1a56647ed2df0f0bdf6e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07450",
    "kind": "arxiv",
    "version": 1
  }
}