Pith Number

pith:FYPLYQXU

pith:2017:FYPLYQXUYBSBCLAPQYBAJMUWCH

not attested not anchored not stored refs pending

On the Hilbert series of the Grassmannian

Lukas Braun

arxiv:1712.05747 v1 · 2017-12-15 · 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{FYPLYQXUYBSBCLAPQYBAJMUWCH}

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	2026-05-18T00:27:55.779333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e1ebc42f4c064112c0f860204b29611dd4738548ec7f5040c02896cadbf9f28

Aliases

arxiv: 1712.05747 · arxiv_version: 1712.05747v1 · doi: 10.48550/arxiv.1712.05747 · pith_short_12: FYPLYQXUYBSB · pith_short_16: FYPLYQXUYBSBCLAP · pith_short_8: FYPLYQXU

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/FYPLYQXUYBSBCLAPQYBAJMUWCH \
  | 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: 2e1ebc42f4c064112c0f860204b29611dd4738548ec7f5040c02896cadbf9f28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c50941ee508c53545b848237ce27b5644b9b2ad4fd30e9b36055d9e0d20b52e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-15T16:50:32Z",
    "title_canon_sha256": "7dc18ec5201ac7f87dbe611455354609daf5ff4e892b36016562a612f9596e45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05747",
    "kind": "arxiv",
    "version": 1
  }
}