Pith Number

pith:4GSCQXWE

pith:2001:4GSCQXWEASIBSTI62TUV3PG54O

not attested not anchored not stored refs pending

BC_n-symmetric polynomials

Eric M. Rains

arxiv:math/0112035 v4 · 2001-12-04 · math.QA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GSCQXWEASIBSTI62TUV3PG54O}

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.

Cited by

1 paper in Pith

Quantum vortices, M2-branes and black holes

Receipt and verification

First computed	2026-07-04T14:35:47.642749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a4285ec40490194d1ed4e95dbcdde38cfc8aff043f35d5306bbb7ed4dfec14

Aliases

arxiv: math/0112035 · arxiv_version: math/0112035v4 · doi: 10.48550/arxiv.math/0112035 · pith_short_12: 4GSCQXWEASIB · pith_short_16: 4GSCQXWEASIBSTI6 · pith_short_8: 4GSCQXWE

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/4GSCQXWEASIBSTI62TUV3PG54O \
  | 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: e1a4285ec40490194d1ed4e95dbcdde38cfc8aff043f35d5306bbb7ed4dfec14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2db7fdef5ba2b14e7291e31060de75302f5995bcca4c63e6435198771f801ec",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-12-04T16:44:13Z",
    "title_canon_sha256": "be178402a4990e9ea71dd16bbe8d8fafefcbb8cb052ecbb3bc680c86b587ea87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112035",
    "kind": "arxiv",
    "version": 4
  }
}