Pith Number

pith:O7ZJYYJ5

pith:2003:O7ZJYYJ5M37NAYPCCQNYPS6OH5

not attested not anchored not stored refs pending

Structures of boson and fermion Fock spaces in the space of symmetric functions

Yurii A. Neretin

arxiv:math-ph/0306077 v1 · 2003-06-30 · math-ph · math.CO · 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{O7ZJYYJ5M37NAYPCCQNYPS6OH5}

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	2026-05-18T03:39:53.513111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f29c613d66fed061e2141b87cbce3f4615ed99ed74b7358e48710093d41296

Aliases

arxiv: math-ph/0306077 · arxiv_version: math-ph/0306077v1 · doi: 10.48550/arxiv.math-ph/0306077 · pith_short_12: O7ZJYYJ5M37N · pith_short_16: O7ZJYYJ5M37NAYPC · pith_short_8: O7ZJYYJ5

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/O7ZJYYJ5M37NAYPCCQNYPS6OH5 \
  | 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: 77f29c613d66fed061e2141b87cbce3f4615ed99ed74b7358e48710093d41296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b73de5d2a02a6b9ce905e224b25314cd1bbeaac6bd16bb205536690fd4a96a",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-06-30T16:45:50Z",
    "title_canon_sha256": "e3e9c671d89c9bbb539a330009198d04f0852e9c9542977954a5506647cfc255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0306077",
    "kind": "arxiv",
    "version": 1
  }
}