Pith Number

pith:QF2TSIZS

pith:2026:QF2TSIZSNVKLZPHOK6FXIFK7ZR

not attested not anchored not stored refs pending

How many degrees of freedom describe a quantum N-particle state?

Marek L. Miller, Matthew J. Lake

arxiv:2607.16988 v1 · 2026-07-18 · quant-ph · hep-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{QF2TSIZSNVKLZPHOK6FXIFK7ZR}

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	2026-07-21T01:21:09.484220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81753923326d54bcbcee578b74155fcc44e2b672144bfe84fc0a52dd44f7a05a

Aliases

arxiv: 2607.16988 · arxiv_version: 2607.16988v1 · doi: 10.48550/arxiv.2607.16988 · pith_short_12: QF2TSIZSNVKL · pith_short_16: QF2TSIZSNVKLZPHO · pith_short_8: QF2TSIZS

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/QF2TSIZSNVKLZPHOK6FXIFK7ZR \
  | 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: 81753923326d54bcbcee578b74155fcc44e2b672144bfe84fc0a52dd44f7a05a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f840729a82a5eb5ad8fbc6708466e294e7c0fd2e8c132a4e2703eb663cb5d4d",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-18T22:31:48Z",
    "title_canon_sha256": "12f98775ccf2ddde89fe9f7f970fcb570dc6e8682ef309dc4a3734234daa4420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16988",
    "kind": "arxiv",
    "version": 1
  }
}