Pith Number

pith:EEEL75G5

pith:2010:EEEL75G5XB25RBC5YG3GTOAZWN

not attested not anchored not stored refs pending

Loop symmetric functions and factorizing matrix polynomials

Thomas Lam

arxiv:1012.1262 v2 · 2010-12-06 · math.CO · math.QA · 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{EEEL75G5XB25RBC5YG3GTOAZWN}

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	2026-05-18T03:47:08.979696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2108bff4ddb875d8845dc1b669b819b3491dd521e77947be21d12d41935eee74

Aliases

arxiv: 1012.1262 · arxiv_version: 1012.1262v2 · doi: 10.48550/arxiv.1012.1262 · pith_short_12: EEEL75G5XB25 · pith_short_16: EEEL75G5XB25RBC5 · pith_short_8: EEEL75G5

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/EEEL75G5XB25RBC5YG3GTOAZWN \
  | 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: 2108bff4ddb875d8845dc1b669b819b3491dd521e77947be21d12d41935eee74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be4e91f8214b24c7aa67fa9b6a362ef73e8a82ac1e95e3414368bfcf0fee26d7",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-06T18:02:54Z",
    "title_canon_sha256": "8f035f9b1ee94b8db5ac3fdd369ff00b3fa91545c2da24526bd5fc6d3e3160de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1262",
    "kind": "arxiv",
    "version": 2
  }
}