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Pith Number

pith:BGYI52PT

pith:2013:BGYI52PTOR2EQVO4XI23FQSXQP
not attested not anchored not stored refs pending

Representability Conditions by Grassmann Integration

Edmund Menge, Hans Konrad Kn\"orr, Volker Bach

arxiv:1307.0465 v1 · 2013-07-01 · math-ph · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BGYI52PTOR2EQVO4XI23FQSXQP}

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 2026-05-18T00:07:12.733871Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

09b08ee9f374744855dcba35b2c25783d865c46eb7dea624caeb4d8f93d802d8

Aliases

arxiv: 1307.0465 · arxiv_version: 1307.0465v1 · doi: 10.48550/arxiv.1307.0465 · pith_short_12: BGYI52PTOR2E · pith_short_16: BGYI52PTOR2EQVO4 · pith_short_8: BGYI52PT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BGYI52PTOR2EQVO4XI23FQSXQP \
  | 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: 09b08ee9f374744855dcba35b2c25783d865c46eb7dea624caeb4d8f93d802d8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "549a476b13d08fff86df6ed3e57aea41d05e01ac51b5878095ad6e21d4ca288b",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-01T18:30:02Z",
    "title_canon_sha256": "664a62faeac9217e263b344616714aae5189e5379c7334fda5b5acba3b6e4b5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0465",
    "kind": "arxiv",
    "version": 1
  }
}