Pith Number

pith:T67GKXGF

pith:2016:T67GKXGFEAYS4RZIL7IQQ2FV6G

not attested not anchored not stored refs pending

Virtual pullbacks in $K$-theory

F. Qu

arxiv:1608.02524 v2 · 2016-08-08 · 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{T67GKXGFEAYS4RZIL7IQQ2FV6G}

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.

Cited by

1 paper in Pith

Virtual Jeffrey--Kirwan localisation

Receipt and verification

First computed	2026-05-18T00:34:52.724089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fbe655cc520312e47285fd10868b5f1a5bed38fc2e37ca12cc67fc74e10c1e5

Aliases

arxiv: 1608.02524 · arxiv_version: 1608.02524v2 · doi: 10.48550/arxiv.1608.02524 · pith_short_12: T67GKXGFEAYS · pith_short_16: T67GKXGFEAYS4RZI · pith_short_8: T67GKXGF

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/T67GKXGFEAYS4RZIL7IQQ2FV6G \
  | 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: 9fbe655cc520312e47285fd10868b5f1a5bed38fc2e37ca12cc67fc74e10c1e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7cc05bd9a3e4c8ca1521ba4691ff892c9110be02332db02eff459dd27cc3a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-08T17:25:10Z",
    "title_canon_sha256": "0f0627f2f441253b71588c805dfb39e44ab2dc3078f71fa6e933f93596ff42d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02524",
    "kind": "arxiv",
    "version": 2
  }
}