Pith Number

pith:XELNWWVU

pith:2013:XELNWWVUWDV3VO76KZHFM5VUZV

not attested not anchored not stored refs pending

Symmetric polynomials, generalized Jacobi-Trudi identities and \tau-functions

Eunghyun Lee, J. Harnad

arxiv:1304.0020 v5 · 2013-03-29 · math-ph · hep-th · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XELNWWVUWDV3VO76KZHFM5VUZV}

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	2026-05-17T23:41:13.792309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b916db5ab4b0ebbabbfe564e5676b4cd7c926b49d4dbd5798b74b0663a003e9b

Aliases

arxiv: 1304.0020 · arxiv_version: 1304.0020v5 · doi: 10.48550/arxiv.1304.0020 · pith_short_12: XELNWWVUWDV3 · pith_short_16: XELNWWVUWDV3VO76 · pith_short_8: XELNWWVU

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/XELNWWVUWDV3VO76KZHFM5VUZV \
  | 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: b916db5ab4b0ebbabbfe564e5676b4cd7c926b49d4dbd5798b74b0663a003e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72596d3c6ff5378b30505663f8322adcbaa14798551e2b2683ce06aa8dab2ef6",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-29T20:33:05Z",
    "title_canon_sha256": "65a010efadd77aff2acce790b05ceb0eeb266759b5f580e714a9eb57dc620264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0020",
    "kind": "arxiv",
    "version": 5
  }
}