Pith Number

pith:NSBVMMU3

pith:2008:NSBVMMU3WUXTLWMORRZXNPERQS

not attested not anchored not stored refs pending

Relatively spectral morphisms and applications to K-theory

Bogdan Nica

arxiv:0805.4788 v2 · 2008-05-30 · math.OA · 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{NSBVMMU3WUXTLWMORRZXNPERQS}

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	2026-05-18T04:14:55.277267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c8356329bb52f35d98e8c7376bc9184a48eaea8e77067a5cac8a13fa09f4372

Aliases

arxiv: 0805.4788 · arxiv_version: 0805.4788v2 · doi: 10.48550/arxiv.0805.4788 · pith_short_12: NSBVMMU3WUXT · pith_short_16: NSBVMMU3WUXTLWMO · pith_short_8: NSBVMMU3

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/NSBVMMU3WUXTLWMORRZXNPERQS \
  | 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: 6c8356329bb52f35d98e8c7376bc9184a48eaea8e77067a5cac8a13fa09f4372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c19377e35f527a1cbe2857583408711769fee6f531f416add2f8e7f4a2c133e",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-05-30T15:22:21Z",
    "title_canon_sha256": "b13000181afb459b193663742fbd3e7f75f2f9df3abc84f5f089277b798207f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.4788",
    "kind": "arxiv",
    "version": 2
  }
}