Pith Number

pith:PIHMPUXW

pith:2021:PIHMPUXWV5K3DHU5MSKJQMBHCN

not attested not anchored not stored refs pending

Grassmannians and Singularities

Yi Hu

arxiv:2109.02968 v4 · 2021-09-07 · 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{PIHMPUXWV5K3DHU5MSKJQMBHCN}

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	2026-07-05T04:02:39.673959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a0ec7d2f6af55b19e9d6494983027137895b0002e40593f38dc41284cd45258

Aliases

arxiv: 2109.02968 · arxiv_version: 2109.02968v4 · doi: 10.48550/arxiv.2109.02968 · pith_short_12: PIHMPUXWV5K3 · pith_short_16: PIHMPUXWV5K3DHU5 · pith_short_8: PIHMPUXW

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/PIHMPUXWV5K3DHU5MSKJQMBHCN \
  | 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: 7a0ec7d2f6af55b19e9d6494983027137895b0002e40593f38dc41284cd45258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd03db89bb405f0e2db0fedb1dc58fe1ef266ccede559df284c73a89c4be718a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-09-07T09:47:46Z",
    "title_canon_sha256": "6489c9515f080389a83ed7e0c7f06d6194d7493307ba1ce23286ece35def0859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.02968",
    "kind": "arxiv",
    "version": 4
  }
}