Pith Number

pith:KZ6MNNZT

pith:2018:KZ6MNNZTZD2AENNOGOJBDFLQMB

not attested not anchored not stored refs pending

On instability of ground states in 2D CP(N-1) and O(N) models at large N

A. Gorsky, A. Pikalov, A. Vainshtein

arxiv:1811.05449 v1 · 2018-11-13 · hep-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{KZ6MNNZTZD2AENNOGOJBDFLQMB}

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	2026-05-18T00:00:46.121999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

567cc6b733c8f40235ae33921195706073d612ddda7cb0f019b488f4d14f5878

Aliases

arxiv: 1811.05449 · arxiv_version: 1811.05449v1 · doi: 10.48550/arxiv.1811.05449 · pith_short_12: KZ6MNNZTZD2A · pith_short_16: KZ6MNNZTZD2AENNO · pith_short_8: KZ6MNNZT

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/KZ6MNNZTZD2AENNOGOJBDFLQMB \
  | 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: 567cc6b733c8f40235ae33921195706073d612ddda7cb0f019b488f4d14f5878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba6a1b2f2e553e3ef8cb16bf86a9de7af4643a6a2ffdde6cfa1fd5ca578ef69e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-11-13T18:39:56Z",
    "title_canon_sha256": "207f31f37bbc46d351f3062cb72d6a8f22f6f1713da4297c5f14f9b08dba823a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05449",
    "kind": "arxiv",
    "version": 1
  }
}