Pith Number

pith:LERFTGJO

pith:2016:LERFTGJO6IMVBXYPZJR4S4QVP6

not attested not anchored not stored refs pending

Grassmann phase-space methods for fermions: uncovering classical probability structure

Evgeny A. Polyakov

arxiv:1609.06360 v1 · 2016-09-19 · quant-ph · cond-mat.quant-gas · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LERFTGJO6IMVBXYPZJR4S4QVP6}

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	2026-05-18T00:55:11.762920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

592259992ef21950df0fca63c972157fbbed425a2244433cd0549a0d420687ca

Aliases

arxiv: 1609.06360 · arxiv_version: 1609.06360v1 · doi: 10.48550/arxiv.1609.06360 · pith_short_12: LERFTGJO6IMV · pith_short_16: LERFTGJO6IMVBXYP · pith_short_8: LERFTGJO

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/LERFTGJO6IMVBXYPZJR4S4QVP6 \
  | 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: 592259992ef21950df0fca63c972157fbbed425a2244433cd0549a0d420687ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51c72fad8701b76d1b19e017ad75d50a254fad4b0d72cb28e3b21bfd6a5fc1ed",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-19T14:55:10Z",
    "title_canon_sha256": "2c6cfb9bf89d5c4778bb96fe581ab646ca2880c0688218edda97ea5269fbbf93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06360",
    "kind": "arxiv",
    "version": 1
  }
}