Pith Number

pith:VCC5OFJL

pith:2016:VCC5OFJLJEAXOKAS5D7NHJ2H4N

not attested not anchored not stored refs pending

Phase diagram of the two-fluid Lipkin model: a butterfly catastrophe

E. Freire, J.E. Garc\'ia-Ramos, J.M Arias, P. P\'erez-Fernandez

arxiv:1603.00179 v1 · 2016-03-01 · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCC5OFJLJEAXOKAS5D7NHJ2H4N}

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	2026-05-18T01:17:41.158680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a885d7152b4901772812e8fed3a747e3749cc3211625ed1326821fb801c9da3c

Aliases

arxiv: 1603.00179 · arxiv_version: 1603.00179v1 · doi: 10.48550/arxiv.1603.00179 · pith_short_12: VCC5OFJLJEAX · pith_short_16: VCC5OFJLJEAXOKAS · pith_short_8: VCC5OFJL

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/VCC5OFJLJEAXOKAS5D7NHJ2H4N \
  | 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: a885d7152b4901772812e8fed3a747e3749cc3211625ed1326821fb801c9da3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fedd31d52b0a06b6df54a12406e21c0aa45d89c4ff3951c99ccc3e4221ab6331",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2016-03-01T08:23:25Z",
    "title_canon_sha256": "6f660930fe4a918f8cb381f9215fbfb9b939f21feb61d0fce279b1f7eea332fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00179",
    "kind": "arxiv",
    "version": 1
  }
}