Pith Number

pith:HQMX33DL

pith:2015:HQMX33DLUQCTQFSY3IBYVUTFSH

not attested not anchored not stored refs pending

Problems with using separated variables for computing expectation values for higher ranks

D. Martin, F. Smirnov

arxiv:1506.08042 v2 · 2015-06-26 · 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{HQMX33DLUQCTQFSY3IBYVUTFSH}

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	2026-05-18T01:18:44.459972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c197dec6ba405381658da038ad26591d310bae7a207eea6c8ca36398a088b9c

Aliases

arxiv: 1506.08042 · arxiv_version: 1506.08042v2 · doi: 10.48550/arxiv.1506.08042 · pith_short_12: HQMX33DLUQCT · pith_short_16: HQMX33DLUQCTQFSY · pith_short_8: HQMX33DL

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/HQMX33DLUQCTQFSY3IBYVUTFSH \
  | 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: 3c197dec6ba405381658da038ad26591d310bae7a207eea6c8ca36398a088b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58322bdbba13da84fe1cce4e412e43604464f81ac93d9c3fe8e69690313fd85a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-26T12:33:52Z",
    "title_canon_sha256": "02a85780df3075c7e5eec40ab37927a9bfa6011c40cef8d949f46a1e5b3b7741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08042",
    "kind": "arxiv",
    "version": 2
  }
}