Pith Number

pith:4JYIU6O2

pith:2016:4JYIU6O265KVFN44LZYK6VYJ4V

not attested not anchored not stored refs pending

Aggregation Dynamics Using Phase Wave Signals and Branching Patterns

Hidetsugu Sakaguchi, Takuma Kusagaki

arxiv:1607.06248 v1 · 2016-07-21 · nlin.PS · cond-mat.soft · q-bio.CB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JYIU6O265KVFN44LZYK6VYJ4V}

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	2026-05-18T01:08:16.043298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2708a79daf75552b79c5e70af5709e5648dc4cf17aef0901c700692405e23ee

Aliases

arxiv: 1607.06248 · arxiv_version: 1607.06248v1 · doi: 10.48550/arxiv.1607.06248 · pith_short_12: 4JYIU6O265KV · pith_short_16: 4JYIU6O265KVFN44 · pith_short_8: 4JYIU6O2

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/4JYIU6O265KVFN44LZYK6VYJ4V \
  | 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: e2708a79daf75552b79c5e70af5709e5648dc4cf17aef0901c700692405e23ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be56d28df3f40ce839911cfe16c4dd39ba9610edaf0d7854626180152d9db6ce",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "q-bio.CB"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2016-07-21T09:55:34Z",
    "title_canon_sha256": "ecabd5ac5472487b25fcf431db5fc4120be713c9285657cd683d92a6e0fe54bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06248",
    "kind": "arxiv",
    "version": 1
  }
}