Pith Number

pith:DV32OL3O

pith:2015:DV32OL3OMJVKUXWDOKUQXL6A5D

not attested not anchored not stored refs pending

Realizations via Preorderings with Application to the Schur Class

Michael A. Dritschel

arxiv:1503.01319 v2 · 2015-03-04 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DV32OL3OMJVKUXWDOKUQXL6A5D}

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	2026-05-18T01:22:41.028180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d77a72f6e626aaa5ec372a90bafc0e8c96f284f152786866f4fcb9f8b65df20

Aliases

arxiv: 1503.01319 · arxiv_version: 1503.01319v2 · doi: 10.48550/arxiv.1503.01319 · pith_short_12: DV32OL3OMJVK · pith_short_16: DV32OL3OMJVKUXWD · pith_short_8: DV32OL3O

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/DV32OL3OMJVKUXWDOKUQXL6A5D \
  | 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: 1d77a72f6e626aaa5ec372a90bafc0e8c96f284f152786866f4fcb9f8b65df20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9162f3a5c4216cd7af42f1141f5ae9797a2ffba608b431a8c86b2c1101eceb60",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-04T14:45:18Z",
    "title_canon_sha256": "9416a1e1e0e42a5275ee258a49bb7f23dabebbc1c3bc9a778a6fe95b99b63201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01319",
    "kind": "arxiv",
    "version": 2
  }
}