Pith Number

pith:NKF3VHKG

pith:2014:NKF3VHKGQ4ME36CBDVEEGJ3EIY

not attested not anchored not stored refs pending

Duality on Fock spaces and combinatorial energy functions

Euiyong Park, Jae-Hoon Kwon

arxiv:1407.4238 v2 · 2014-07-16 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKF3VHKGQ4ME36CBDVEEGJ3EIY}

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	2026-05-18T02:24:28.604250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8bba9d4687184df8411d48432764462fdb4b7ea84e9a0c4fd863404d895e7d

Aliases

arxiv: 1407.4238 · arxiv_version: 1407.4238v2 · doi: 10.48550/arxiv.1407.4238 · pith_short_12: NKF3VHKGQ4ME · pith_short_16: NKF3VHKGQ4ME36CB · pith_short_8: NKF3VHKG

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/NKF3VHKGQ4ME36CBDVEEGJ3EIY \
  | 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: 6a8bba9d4687184df8411d48432764462fdb4b7ea84e9a0c4fd863404d895e7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d027e9d32a3121669989aaeb9b68987deca844f81997eaf189a8865067511d44",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-16T09:08:59Z",
    "title_canon_sha256": "0270af230a54c5de107d65e0b58735ebd963f7dd3c0d61a87c9c4e97208921d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4238",
    "kind": "arxiv",
    "version": 2
  }
}