Pith Number

pith:GUEBHJFZ

pith:2005:GUEBHJFZPOPEYFBGSHSE7MIZJ6

not attested not anchored not stored refs pending

Geometric Phase Transition: direct measurement of a mathematical abstraction

Daniel Cavalcanti, Fernando G.S.L. Brandao, Marcelo O. Terra Cunha

arxiv:quant-ph/0510068 v3 · 2005-10-11 · 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{GUEBHJFZPOPEYFBGSHSE7MIZJ6}

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	2026-07-04T14:51:19.257441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

350813a4b97b9e4c142691e44fb1194fb527b19a0ef156ebebe5cfcbb07012b0

Aliases

arxiv: quant-ph/0510068 · arxiv_version: quant-ph/0510068v3 · doi: 10.48550/arxiv.quant-ph/0510068 · pith_short_12: GUEBHJFZPOPE · pith_short_16: GUEBHJFZPOPEYFBG · pith_short_8: GUEBHJFZ

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/GUEBHJFZPOPEYFBGSHSE7MIZJ6 \
  | 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: 350813a4b97b9e4c142691e44fb1194fb527b19a0ef156ebebe5cfcbb07012b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b3d556854d1cb95290675f27f2a3f1be5e34c496ad066583e9acf392fbbc266",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-10-11T01:21:34Z",
    "title_canon_sha256": "ef41a2006d77b21f0a5a4b7e6597c0f318d9086546e8f22b5d5f41f89bd40519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0510068",
    "kind": "arxiv",
    "version": 3
  }
}