Pith Number

pith:LZEBPHXN

pith:2015:LZEBPHXNP5IFDYZO2SZHEBT7EG

not attested not anchored not stored refs pending

A Finiteness Property of Torus Invariants

Samuel Tenka, Stella Gastineau

arxiv:1510.08337 v1 · 2015-10-28 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZEBPHXNP5IFDYZO2SZHEBT7EG}

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	2026-05-18T01:28:36.347035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e48179eed7f5051e32ed4b272067f2199d54b4fafba586195bd4b252f9b2b46

Aliases

arxiv: 1510.08337 · arxiv_version: 1510.08337v1 · doi: 10.48550/arxiv.1510.08337 · pith_short_12: LZEBPHXNP5IF · pith_short_16: LZEBPHXNP5IFDYZO · pith_short_8: LZEBPHXN

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/LZEBPHXNP5IFDYZO2SZHEBT7EG \
  | 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: 5e48179eed7f5051e32ed4b272067f2199d54b4fafba586195bd4b252f9b2b46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "723f4fd05f776172ca2dab6df3f19ccb16b5f83448aaf1e252a377464b21b007",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-10-28T15:13:07Z",
    "title_canon_sha256": "2c785c992ddbc937c316b21f395cce78d288aefadfd711987a32db3b4f02e2d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08337",
    "kind": "arxiv",
    "version": 1
  }
}