Pith Number

pith:GTOUNDHJ

pith:2019:GTOUNDHJDZOOEF66YYKLZQVJRG

not attested not anchored not stored refs pending

The Algebra of Schur Operators

Christian Smith, Ricky Ini Liu

arxiv:1907.05824 v1 · 2019-07-12 · 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{GTOUNDHJDZOOEF66YYKLZQVJRG}

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	2026-05-17T23:40:44.296042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34dd468ce91e5ce217dec614bcc2a98998cfffeb24a0d0681582af48ff7a87f4

Aliases

arxiv: 1907.05824 · arxiv_version: 1907.05824v1 · doi: 10.48550/arxiv.1907.05824 · pith_short_12: GTOUNDHJDZOO · pith_short_16: GTOUNDHJDZOOEF66 · pith_short_8: GTOUNDHJ

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/GTOUNDHJDZOOEF66YYKLZQVJRG \
  | 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: 34dd468ce91e5ce217dec614bcc2a98998cfffeb24a0d0681582af48ff7a87f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed512c8677dd3c07e7479dbb80dd8bc7de4145a0f2dadb95faf188be22bdb91c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-12T16:21:46Z",
    "title_canon_sha256": "c9a588d187e775ee9540c8e506375d790e48580600355e67cd7446ca356ac135"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05824",
    "kind": "arxiv",
    "version": 1
  }
}