Pith Number

pith:YYE6QQGR

pith:2012:YYE6QQGRXTP6R4V3DM3WQGEMR2

not attested not anchored not stored refs pending

A refinement of entanglement entropy and the number of degrees of freedom

Hong Liu, Mark Mezei

arxiv:1202.2070 v2 · 2012-02-09 · hep-th · cond-mat.str-el · 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{YYE6QQGRXTP6R4V3DM3WQGEMR2}

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.

Cited by

1 paper in Pith

Covariant unification of holographic c-functions

Receipt and verification

First computed	2026-05-18T02:21:17.997253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c609e840d1bcdfe8f2bb1b3768188c8e81257b49eaf8b93558c4e3e2552bdd0d

Aliases

arxiv: 1202.2070 · arxiv_version: 1202.2070v2 · doi: 10.48550/arxiv.1202.2070 · pith_short_12: YYE6QQGRXTP6 · pith_short_16: YYE6QQGRXTP6R4V3 · pith_short_8: YYE6QQGR

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/YYE6QQGRXTP6R4V3DM3WQGEMR2 \
  | 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: c609e840d1bcdfe8f2bb1b3768188c8e81257b49eaf8b93558c4e3e2552bdd0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5fb868272498f9217ba757bf481a13f8f7a4f767367329c5ae966712b5327ad",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-02-09T18:22:27Z",
    "title_canon_sha256": "d09b7df4fb51210a010e5988ac1273404b37c9fb95233944ccba6995bc020001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2070",
    "kind": "arxiv",
    "version": 2
  }
}