Pith Number

pith:IMRZJ3XW

pith:2016:IMRZJ3XW4VQMKBGEFBUWZDFZIU

not attested not anchored not stored refs pending

Boltzmann-Gibbs states in topological quantum walks and associated many-body systems: Fidelity and Uhlmann parallel transport analysis of Phase Transitions

Bruno Mera, Chrysoula Vlachou, Nikola Paunkovi\'c, V\'itor R. Vieira

arxiv:1609.00688 v3 · 2016-09-02 · 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{IMRZJ3XW4VQMKBGEFBUWZDFZIU}

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	2026-05-18T00:35:46.739515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

432394eef6e560c504c428696c8cb94524f4085710c66065aa6395bd88f4749d

Aliases

arxiv: 1609.00688 · arxiv_version: 1609.00688v3 · doi: 10.48550/arxiv.1609.00688 · pith_short_12: IMRZJ3XW4VQM · pith_short_16: IMRZJ3XW4VQMKBGE · pith_short_8: IMRZJ3XW

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/IMRZJ3XW4VQMKBGEFBUWZDFZIU \
  | 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: 432394eef6e560c504c428696c8cb94524f4085710c66065aa6395bd88f4749d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f976eb0441ca212126bebac68d33c989a8d5241d79344505f9ac26947f07bb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-02T18:21:28Z",
    "title_canon_sha256": "6132e5416911f2f2e00365da60df1b3d1db2d8487b804c9600a55e1bc6b0227d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00688",
    "kind": "arxiv",
    "version": 3
  }
}