Pith Number

pith:4KBCA7TL

pith:2013:4KBCA7TL7742CRRFDXT4QN2AQ6

not attested not anchored not stored refs pending

Phase transitions in 3D loop models and the $CP^{n-1}$ $\sigma$ model

Adam Nahum, A. M. Somoza, J. T. Chalker, M. Ortuno, P. Serna

arxiv:1308.0144 v3 · 2013-08-01 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KBCA7TL7742CRRFDXT4QN2AQ6}

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	2026-05-18T03:10:36.516873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e282207e6bfff9a146251de7c8374087a267eeacf25829c66f9be945cc44fadd

Aliases

arxiv: 1308.0144 · arxiv_version: 1308.0144v3 · doi: 10.48550/arxiv.1308.0144 · pith_short_12: 4KBCA7TL7742 · pith_short_16: 4KBCA7TL7742CRRF · pith_short_8: 4KBCA7TL

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/4KBCA7TL7742CRRFDXT4QN2AQ6 \
  | 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: e282207e6bfff9a146251de7c8374087a267eeacf25829c66f9be945cc44fadd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd70846e2c025ba4c901fd36960f065bc6682d049a4b386fc43640b9de11261",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-08-01T10:21:16Z",
    "title_canon_sha256": "327bb9dc92c8e8857a40e029884fa940aa37770c7a84d5cdfbdfa13431fa69ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0144",
    "kind": "arxiv",
    "version": 3
  }
}