Pith Number

pith:3U732CTE

pith:2019:3U732CTEZGFBGJHFM6I2VHDAA3

not attested not anchored not stored refs pending

Universal graph Schubert varieties

Brendan Pawlowski

arxiv:1902.09168 v3 · 2019-02-25 · math.CO · 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{3U732CTEZGFBGJHFM6I2VHDAA3}

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	2026-05-17T23:48:07.479124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd3fbd0a64c98a1324e56791aa9c6006db9a50b874c9360a4b2c0eac15ecbf82

Aliases

arxiv: 1902.09168 · arxiv_version: 1902.09168v3 · doi: 10.48550/arxiv.1902.09168 · pith_short_12: 3U732CTEZGFB · pith_short_16: 3U732CTEZGFBGJHF · pith_short_8: 3U732CTE

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/3U732CTEZGFBGJHFM6I2VHDAA3 \
  | 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: dd3fbd0a64c98a1324e56791aa9c6006db9a50b874c9360a4b2c0eac15ecbf82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e707abd501244d00cbf893e477536002d0a91dade405b35dd5498cf7a85f53c5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-25T09:50:01Z",
    "title_canon_sha256": "8e312938752eb3ea6bbad69180ffdf5855d0f4f0ad85c1f9a89f4ccb0fede1da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.09168",
    "kind": "arxiv",
    "version": 3
  }
}