Pith Number

pith:WB7IPOH5

pith:2011:WB7IPOH5MAMZ6TT3EXMXGE3WNZ

not attested not anchored not stored refs pending

K-theoretic J-functions of type A flag varieties

Kaisa Taipale

arxiv:1110.3117 v1 · 2011-10-14 · 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{WB7IPOH5MAMZ6TT3EXMXGE3WNZ}

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	2026-05-18T04:10:58.020434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07e87b8fd60199f4e7b25d97313766e68be0b76341c4365777a2ee8916d49eb

Aliases

arxiv: 1110.3117 · arxiv_version: 1110.3117v1 · doi: 10.48550/arxiv.1110.3117 · pith_short_12: WB7IPOH5MAMZ · pith_short_16: WB7IPOH5MAMZ6TT3 · pith_short_8: WB7IPOH5

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/WB7IPOH5MAMZ6TT3EXMXGE3WNZ \
  | 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: b07e87b8fd60199f4e7b25d97313766e68be0b76341c4365777a2ee8916d49eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54c8afe3c7c1c24a3a44eb2990e22bdd316a3d26642aa7c505781f8017d0807b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-14T03:28:44Z",
    "title_canon_sha256": "0ba0d8d355c43cb058b808e747d74af9b87e87a813683c95d252598136e404db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3117",
    "kind": "arxiv",
    "version": 1
  }
}