Pith Number

pith:TJEZFWZA

pith:2025:TJEZFWZA2DGU6PTVUIATBC32EN

not attested not anchored not stored refs pending

Ten Equations that Shook the Quantum World: Bose-Einstein Condensation, Superfluidity, and the Quantum-Classical Transition

Phil Attard

arxiv:2501.16363 v1 · 2025-01-22 · physics.gen-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{TJEZFWZA2DGU6PTVUIATBC32EN}

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	2026-07-05T10:06:11.862043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4992db20d0cd4f3e75a201308b7a237e118c19a5bdffec7d1ace86d3ae3b17

Aliases

arxiv: 2501.16363 · arxiv_version: 2501.16363v1 · doi: 10.48550/arxiv.2501.16363 · pith_short_12: TJEZFWZA2DGU · pith_short_16: TJEZFWZA2DGU6PTV · pith_short_8: TJEZFWZA

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/TJEZFWZA2DGU6PTVUIATBC32EN \
  | 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: 9a4992db20d0cd4f3e75a201308b7a237e118c19a5bdffec7d1ace86d3ae3b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de927acd355ca47db873b7313e8b131c5c2576bd0defd78b593017021b21821b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2025-01-22T02:56:34Z",
    "title_canon_sha256": "816cc0fc14a3437e791ab139d79fb3f09a5f63703d9f3403dcce451739c7d44c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16363",
    "kind": "arxiv",
    "version": 1
  }
}