Pith Number

pith:XOQZ3PXR

pith:2015:XOQZ3PXRY3XFZ4TXBYEMFVJRXZ

not attested not anchored not stored refs pending

The K-Theory Spectrum of Varieties

Jonathan A. Campbell

arxiv:1505.03136 v2 · 2015-05-12 · math.AT · math.AG · 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{XOQZ3PXRY3XFZ4TXBYEMFVJRXZ}

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	2026-05-18T00:53:10.726110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba19dbef1c6ee5cf2770e08c2d531be49815d230917ca10d2c00a34acb30475

Aliases

arxiv: 1505.03136 · arxiv_version: 1505.03136v2 · doi: 10.48550/arxiv.1505.03136 · pith_short_12: XOQZ3PXRY3XF · pith_short_16: XOQZ3PXRY3XFZ4TX · pith_short_8: XOQZ3PXR

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/XOQZ3PXRY3XFZ4TXBYEMFVJRXZ \
  | 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: bba19dbef1c6ee5cf2770e08c2d531be49815d230917ca10d2c00a34acb30475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1178c0c12fb293e22baf128947893321d7f116fc8d089c0538660361b85c34ef",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-05-12T19:52:48Z",
    "title_canon_sha256": "b2f3f96fc6b52c2d174f60d8df14e1f736a7a9f21ab269989ebcc84593f896bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03136",
    "kind": "arxiv",
    "version": 2
  }
}