Pith Number

pith:H64DXC5D

pith:2011:H64DXC5D6OWG6MTMRLY6PI4FIU

not attested not anchored not stored refs pending

Projective freeness of algebras of real symmetric functions

Amol Sasane

arxiv:1103.0899 v3 · 2011-03-04 · math.KT · math.AC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H64DXC5D6OWG6MTMRLY6PI4FIU}

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	2026-05-18T03:31:18.097828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fb83b8ba3f3ac6f326c8af1e7a38545374547e5ba00645d4ef7543ecce586a2

Aliases

arxiv: 1103.0899 · arxiv_version: 1103.0899v3 · doi: 10.48550/arxiv.1103.0899 · pith_short_12: H64DXC5D6OWG · pith_short_16: H64DXC5D6OWG6MTM · pith_short_8: H64DXC5D

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/H64DXC5D6OWG6MTMRLY6PI4FIU \
  | 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: 3fb83b8ba3f3ac6f326c8af1e7a38545374547e5ba00645d4ef7543ecce586a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ef7f7e8a0b0d16d5b31214d544b4dc71dbf16d5eba307b3054f78dbc04145f7",
    "cross_cats_sorted": [
      "math.AC",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-03-04T13:37:29Z",
    "title_canon_sha256": "16c55a4a910ccf29b8ba90882c67de2d809cab75c25633abbfa19e011a910325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0899",
    "kind": "arxiv",
    "version": 3
  }
}