Pith Number

pith:TWFDTRM4

pith:2007:TWFDTRM4HSRXJESZKNFDVSHN6W

not attested not anchored not stored refs pending

Quantum phase transitions with Photons and Polaritons

Fernando G.S.L. Brandao, Martin B. Plenio, Michael J. Hartmann

arxiv:quant-ph/0702003 v1 · 2007-01-31 · 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{TWFDTRM4HSRXJESZKNFDVSHN6W}

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	2026-07-04T14:59:12.187941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d8a39c59c3ca3749259534a3ac8edf5a8511a0aad7075975189c629296165f4

Aliases

arxiv: quant-ph/0702003 · arxiv_version: quant-ph/0702003v1 · doi: 10.48550/arxiv.quant-ph/0702003 · pith_short_12: TWFDTRM4HSRX · pith_short_16: TWFDTRM4HSRXJESZ · pith_short_8: TWFDTRM4

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/TWFDTRM4HSRXJESZKNFDVSHN6W \
  | 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: 9d8a39c59c3ca3749259534a3ac8edf5a8511a0aad7075975189c629296165f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c95c4972e364355ca0252ae8b322acc9f9f3bc509934c0fc01ead7bbe876977",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-01-31T22:39:27Z",
    "title_canon_sha256": "1e7aec7e020c620f60577a35e194753034215a0ba408151a018722dfb7a4e0a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0702003",
    "kind": "arxiv",
    "version": 1
  }
}