Pith Number

pith:2K3MPNHH

pith:2010:2K3MPNHHRCECZH6DIOEGPOUL4D

not attested not anchored not stored refs pending

Some Calculable Contributions to Entanglement Entropy

Frank Wilczek (MIT), Mark P. Hertzberg (MIT, Stanford)

arxiv:1007.0993 v2 · 2010-07-06 · 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{2K3MPNHHRCECZH6DIOEGPOUL4D}

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

Entanglement on a Sphere

Receipt and verification

First computed	2026-05-18T04:29:53.604651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b6c7b4e788882c9fc3438867ba8be0eaf8993f56ffee7e6dacdc88ecbf8185

Aliases

arxiv: 1007.0993 · arxiv_version: 1007.0993v2 · doi: 10.48550/arxiv.1007.0993 · pith_short_12: 2K3MPNHHRCEC · pith_short_16: 2K3MPNHHRCECZH6D · pith_short_8: 2K3MPNHH

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/2K3MPNHHRCECZH6DIOEGPOUL4D \
  | 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: d2b6c7b4e788882c9fc3438867ba8be0eaf8993f56ffee7e6dacdc88ecbf8185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc5887a5c600603f81a054adb91fecbf308ba09927a3485e769b45b40ae09ab",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-07-06T20:01:01Z",
    "title_canon_sha256": "51a3288f81eda838d109c67b75111750da6a85e4a61e2b70026262d622ff5dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0993",
    "kind": "arxiv",
    "version": 2
  }
}