Pith Number

pith:JBJ53P5E

pith:2016:JBJ53P5E6U75IBMWRFCKDOMPYE

not attested not anchored not stored refs pending

Towards Boij-S\"oderberg theory for Grassmannians: the case of square matrices

Jake Levinson, Nicolas Ford, Steven V Sam

arxiv:1608.04058 v2 · 2016-08-14 · math.AC · 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{JBJ53P5E6U75IBMWRFCKDOMPYE}

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	2026-05-18T00:15:24.785428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4853ddbfa4f53fd405968944a1b98fc12d9d8597d9724ff0769932d3bbb9c7b3

Aliases

arxiv: 1608.04058 · arxiv_version: 1608.04058v2 · doi: 10.48550/arxiv.1608.04058 · pith_short_12: JBJ53P5E6U75 · pith_short_16: JBJ53P5E6U75IBMW · pith_short_8: JBJ53P5E

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/JBJ53P5E6U75IBMWRFCKDOMPYE \
  | 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: 4853ddbfa4f53fd405968944a1b98fc12d9d8597d9724ff0769932d3bbb9c7b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6c270e64d509c68ee57fa1606eaa2cb9ba7437603e3640af65b336d3e3758b1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-08-14T04:32:23Z",
    "title_canon_sha256": "4e15226795330bdd5335ac225b9a38e3575acc054a411b1900d1ae48472cd336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04058",
    "kind": "arxiv",
    "version": 2
  }
}