Pith Number

pith:PI2DHPYX

pith:2012:PI2DHPYXZBJ2QGYVQ63UNH47DI

not attested not anchored not stored refs pending

Bose-Fermi duality and entanglement entropies

Albion Lawrence, Matthew Headrick, Matthew M. Roberts

arxiv:1209.2428 v3 · 2012-09-11 · hep-th · cond-mat.stat-mech · 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{PI2DHPYXZBJ2QGYVQ63UNH47DI}

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	2026-05-18T03:30:53.674101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3433bf17c853a81b1587b7469f9f1a27af2963dddaf2037a063bcd4b401399

Aliases

arxiv: 1209.2428 · arxiv_version: 1209.2428v3 · doi: 10.48550/arxiv.1209.2428 · pith_short_12: PI2DHPYXZBJ2 · pith_short_16: PI2DHPYXZBJ2QGYV · pith_short_8: PI2DHPYX

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/PI2DHPYXZBJ2QGYVQ63UNH47DI \
  | 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: 7a3433bf17c853a81b1587b7469f9f1a27af2963dddaf2037a063bcd4b401399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67dfa4ab2993f5ab6781845de0d77a89f421f85174b2553ff7ae615cf4d35481",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-09-11T20:08:04Z",
    "title_canon_sha256": "4d3e2520592b2f25ea790c663a1cb6317a731d25a3492230b97116b429f15591"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2428",
    "kind": "arxiv",
    "version": 3
  }
}