Pith Number

pith:33LFU744

pith:2010:33LFU744WYNOKLRYYQIEOBRWOG

not attested not anchored not stored refs pending

Intrinsic energy is a loop Schur function

Pavlo Pylyavskyy, Thomas Lam

arxiv:1003.3948 v2 · 2010-03-20 · math.QA · 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{33LFU744WYNOKLRYYQIEOBRWOG}

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	2026-05-18T02:46:39.715403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded65a7f9cb61ae52e38c41047063671b9e6b5630b22f403b58c8ac05ddb50b4

Aliases

arxiv: 1003.3948 · arxiv_version: 1003.3948v2 · doi: 10.48550/arxiv.1003.3948 · pith_short_12: 33LFU744WYNO · pith_short_16: 33LFU744WYNOKLRY · pith_short_8: 33LFU744

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/33LFU744WYNOKLRYYQIEOBRWOG \
  | 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: ded65a7f9cb61ae52e38c41047063671b9e6b5630b22f403b58c8ac05ddb50b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad69b58e29340af47203eb78f9141ca934954a501de8f46ebd578c607d2b4ae",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-03-20T20:16:22Z",
    "title_canon_sha256": "a6b8c46179eb0c161d083fdc2d5f43770dca093eb63845032bb6ec3fb9300143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3948",
    "kind": "arxiv",
    "version": 2
  }
}