Pith Number

pith:5PJUB3ST

pith:2016:5PJUB3ST5KZJG2IDJCD2GCWNBB

not attested not anchored not stored refs pending

Cucker-Smale model with normalized communication weights and time delay

Jan Haskovec, Young-Pil Choi

arxiv:1608.06747 v1 · 2016-08-24 · 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{5PJUB3ST5KZJG2IDJCD2GCWNBB}

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	2026-05-18T01:07:57.619595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd340ee53eab29369034887a30acd086843f3e13a50c1e2d2132f0b1bf6452f

Aliases

arxiv: 1608.06747 · arxiv_version: 1608.06747v1 · doi: 10.48550/arxiv.1608.06747 · pith_short_12: 5PJUB3ST5KZJ · pith_short_16: 5PJUB3ST5KZJG2ID · pith_short_8: 5PJUB3ST

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/5PJUB3ST5KZJG2IDJCD2GCWNBB \
  | 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: ebd340ee53eab29369034887a30acd086843f3e13a50c1e2d2132f0b1bf6452f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abafa19c0c02ad2c3bf0d1e73908b643a0b50768e13143a9ef079e1b7e4c087e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-24T08:29:45Z",
    "title_canon_sha256": "bd656b04f7afad73abeee1dbb47f72f8a4541432676a3faf718cc52eb9d84120"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06747",
    "kind": "arxiv",
    "version": 1
  }
}