Pith Number

pith:VFJAK4VH

pith:2019:VFJAK4VHHUL7R7QRI4NPZIM7A6

not attested not anchored not stored refs pending

Entanglement Content of Quantum Particle Excitations III. Graph Partition Functions

Benjamin Doyon, Cecilia De Fazio, Istv\'an M. Sz\'ecs\'enyi, Olalla A. Castro-Alvaredo

arxiv:1904.02615 v1 · 2019-04-04 · math-ph · cond-mat.stat-mech · hep-th · 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{VFJAK4VHHUL7R7QRI4NPZIM7A6}

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	2026-07-04T23:58:07.697142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9520572a73d17f8fe11471afca19f078f290c9031cb36b05dd2254537694df7

Aliases

arxiv: 1904.02615 · arxiv_version: 1904.02615v1 · doi: 10.48550/arxiv.1904.02615 · pith_short_12: VFJAK4VHHUL7 · pith_short_16: VFJAK4VHHUL7R7QR · pith_short_8: VFJAK4VH

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/VFJAK4VHHUL7R7QRI4NPZIM7A6 \
  | 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: a9520572a73d17f8fe11471afca19f078f290c9031cb36b05dd2254537694df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73208bf04b98708958aff694752381984d0cda9c446088757ba8d0b0a5985598",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-04-04T15:42:55Z",
    "title_canon_sha256": "3aa37d5e2ba9077601c273adf1272dfbd0c2d57f4479ac6abc039763a29df447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02615",
    "kind": "arxiv",
    "version": 1
  }
}