Pith Number

pith:E7FAW57H

pith:2012:E7FAW57HM5UEVXEAL6NPQDLJAG

not attested not anchored not stored refs pending

Product vacua with boundary states and the classification of gapped phases

Bruno Nachtergaele, Sven Bachmann

arxiv:1212.3718 v3 · 2012-12-15 · math-ph · cond-mat.stat-mech · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E7FAW57HM5UEVXEAL6NPQDLJAG}

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	2026-05-18T02:48:01.156132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27ca0b77e767684adc805f9af80d69018b5734a036d00e673752a57f2ed16fe5

Aliases

arxiv: 1212.3718 · arxiv_version: 1212.3718v3 · doi: 10.48550/arxiv.1212.3718 · pith_short_12: E7FAW57HM5UE · pith_short_16: E7FAW57HM5UEVXEA · pith_short_8: E7FAW57H

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/E7FAW57HM5UEVXEAL6NPQDLJAG \
  | 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: 27ca0b77e767684adc805f9af80d69018b5734a036d00e673752a57f2ed16fe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f372093514dbdfb05700b92d88da118ea169ec2e5460518e4b1ebb018a214c61",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-15T19:37:03Z",
    "title_canon_sha256": "008bf40712f27cbc5e428391139a34b1495da1d3d14a7b3ac853bccf200d4e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3718",
    "kind": "arxiv",
    "version": 3
  }
}