Pith Number

pith:XVXMC74O

pith:2016:XVXMC74O3WUFJTQFRCYA7JADEU

not attested not anchored not stored refs pending

Chow rings of versal complete flag varieties

Nobuaki Yagita

arxiv:1609.08721 v2 · 2016-09-28 · math.KT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVXMC74O3WUFJTQFRCYA7JADEU}

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	2026-05-18T00:31:36.340488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd6ec17f8edda854ce0588b00fa403253163283062cc1d3894beb2e77363c97f

Aliases

arxiv: 1609.08721 · arxiv_version: 1609.08721v2 · doi: 10.48550/arxiv.1609.08721 · pith_short_12: XVXMC74O3WUF · pith_short_16: XVXMC74O3WUFJTQF · pith_short_8: XVXMC74O

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/XVXMC74O3WUFJTQFRCYA7JADEU \
  | 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: bd6ec17f8edda854ce0588b00fa403253163283062cc1d3894beb2e77363c97f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e386039acc0def9befb98bd62a3ebf035856e8720b0733f668ab9142d023d584",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-09-28T01:35:21Z",
    "title_canon_sha256": "e8525ca4edc1f0dcc54e4a30357f7da9edd6e04ccaff4038f7df3210950b262f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08721",
    "kind": "arxiv",
    "version": 2
  }
}