Pith Number

pith:APFWGHFN

pith:2011:APFWGHFND2MZK6LTQ3YTLWJE7R

not attested not anchored not stored refs pending

Equivariant $K$-theory of flag varieties revisited and related results

V. Uma

arxiv:1101.5911 v3 · 2011-01-31 · 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{APFWGHFND2MZK6LTQ3YTLWJE7R}

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	2026-05-18T02:43:02.779884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03cb631cad1e9995797386f135d924fc474e747b10073e742388f65ff1d84385

Aliases

arxiv: 1101.5911 · arxiv_version: 1101.5911v3 · doi: 10.48550/arxiv.1101.5911 · pith_short_12: APFWGHFND2MZ · pith_short_16: APFWGHFND2MZK6LT · pith_short_8: APFWGHFN

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/APFWGHFND2MZK6LTQ3YTLWJE7R \
  | 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: 03cb631cad1e9995797386f135d924fc474e747b10073e742388f65ff1d84385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a13ee6038d0d1c20c28f54e3943a634f771afc448b18e2ea2ff1a2692fdf25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-31T11:06:58Z",
    "title_canon_sha256": "4ffd8b386be7b5ed76a28cc2a536958180f0c16e766521661252a272444f55ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5911",
    "kind": "arxiv",
    "version": 3
  }
}