Pith Number

pith:2R3GPMHA

pith:2012:2R3GPMHAHWFZTTZNNSBZ7BHE5B

not attested not anchored not stored refs pending

Entanglement sum rules in exactly solvable models

Brian Swingle

arxiv:1209.0769 v1 · 2012-09-04 · cond-mat.str-el · hep-th · 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{2R3GPMHAHWFZTTZNNSBZ7BHE5B}

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	2026-05-18T03:13:46.418627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d47667b0e03d8b99cf2d6c839f84e4e868a70794e48ccc70b8d84d10defab0e9

Aliases

arxiv: 1209.0769 · arxiv_version: 1209.0769v1 · doi: 10.48550/arxiv.1209.0769 · pith_short_12: 2R3GPMHAHWFZ · pith_short_16: 2R3GPMHAHWFZTTZN · pith_short_8: 2R3GPMHA

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/2R3GPMHAHWFZTTZNNSBZ7BHE5B \
  | 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: d47667b0e03d8b99cf2d6c839f84e4e868a70794e48ccc70b8d84d10defab0e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0ffacfc6e4438cabb726e9c6b221a20635214fed4cfe63967d89d2c1f787166",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2012-09-04T20:00:04Z",
    "title_canon_sha256": "ff01781f0cc116cb397e4e672c3f2200053452e8663a50bcf9b41a701b5004cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0769",
    "kind": "arxiv",
    "version": 1
  }
}