Pith Number

pith:T6PNNCED

pith:2015:T6PNNCEDK723JSWMDP34ZELBOU

not attested not anchored not stored refs pending

Twisted K-theory, Real $\mathcal{A}$-bundles and Grothendieck-Witt groups

Charles Weibel, Max Karoubi

arxiv:1509.07991 v1 · 2015-09-26 · 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{T6PNNCEDK723JSWMDP34ZELBOU}

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	2026-05-18T01:31:54.965988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f9ed6888357f5b4cacc1bf7cc91617502d79a690c5f33c2158a7c30969e2911

Aliases

arxiv: 1509.07991 · arxiv_version: 1509.07991v1 · doi: 10.48550/arxiv.1509.07991 · pith_short_12: T6PNNCEDK723 · pith_short_16: T6PNNCEDK723JSWM · pith_short_8: T6PNNCED

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/T6PNNCEDK723JSWMDP34ZELBOU \
  | 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: 9f9ed6888357f5b4cacc1bf7cc91617502d79a690c5f33c2158a7c30969e2911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be596545808418c95a7726201bf9d4bef2961d6e9c6028dcece2a5bc658cf1a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-09-26T15:08:54Z",
    "title_canon_sha256": "2a151af72d17d3b1e5b261b838c099b8e9472a9f9dca3973ac859631ed201efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07991",
    "kind": "arxiv",
    "version": 1
  }
}