Pith Number

pith:556DCKMW

pith:2004:556DCKMW5DZ7G46S2KFH2PAUB3

not attested not anchored not stored refs pending

A Line of Critical Points in 2+1 Dimensions: Quantum Critical Loop Gases and Non-Abelian Gauge Theory

Chetan Nayak, Kirill Shtengel, Michael Freedman

arxiv:cond-mat/0408257 v1 · 2004-08-11 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{556DCKMW5DZ7G46S2KFH2PAUB3}

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	2026-07-04T16:46:53.310861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7c312996e8f3f373d2d28a7d3c140ec4f2b55e156b6623010e6927a59b7ada

Aliases

arxiv: cond-mat/0408257 · arxiv_version: cond-mat/0408257v1 · doi: 10.48550/arxiv.cond-mat/0408257 · pith_short_12: 556DCKMW5DZ7 · pith_short_16: 556DCKMW5DZ7G46S · pith_short_8: 556DCKMW

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/556DCKMW5DZ7G46S2KFH2PAUB3 \
  | 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: ef7c312996e8f3f373d2d28a7d3c140ec4f2b55e156b6623010e6927a59b7ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af097bddf49ecf136cfe6cc1ceafe1aa5e2958e313035c1d94ccec62544ce4d9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2004-08-11T22:11:36Z",
    "title_canon_sha256": "e7e88d9410f578e6479d9b6567111b8f5c18339724852c35e7ffddc536d23afe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0408257",
    "kind": "arxiv",
    "version": 1
  }
}