Pith Number

pith:FMOF7FMQ

pith:2016:FMOF7FMQR7K3WN2EEJXH7BG5OF

not attested not anchored not stored refs pending

Pfaffian formula for $K$-theory of odd orthogonal Grassmannians

Hiroshi Naruse, Takeshi Ikeda, Thomas Hudson, Tomoo Matsumura

arxiv:1602.04448 v1 · 2016-02-14 · math.AG · math.CO · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMOF7FMQR7K3WN2EEJXH7BG5OF}

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	2026-05-18T01:20:49.899927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b1c5f95908fd5bb3744226e7f84dd7173422e6d0f46a1a272d01109517eef2b

Aliases

arxiv: 1602.04448 · arxiv_version: 1602.04448v1 · doi: 10.48550/arxiv.1602.04448 · pith_short_12: FMOF7FMQR7K3 · pith_short_16: FMOF7FMQR7K3WN2E · pith_short_8: FMOF7FMQ

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/FMOF7FMQR7K3WN2EEJXH7BG5OF \
  | 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: 2b1c5f95908fd5bb3744226e7f84dd7173422e6d0f46a1a272d01109517eef2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e8b1823464d31dabcfc7c288f75121045e1d5e724ae0e489d28ac8d69d8214",
    "cross_cats_sorted": [
      "math.CO",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-14T12:47:53Z",
    "title_canon_sha256": "8b84e056070604d26fd30b88825ebea3e07c33fc0ff666ab2629b538da00eab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04448",
    "kind": "arxiv",
    "version": 1
  }
}