Pith Number

pith:EUB335EN

pith:2011:EUB335ENCH7L4GTX6E5ERRNDOQ

not attested not anchored not stored refs pending

A Note on the Grothendieck Group of an Additive Category

David E. V. Rose

arxiv:1109.2040 v1 · 2011-09-09 · math.CT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EUB335ENCH7L4GTX6E5ERRNDOQ}

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	2026-05-18T04:13:46.327693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2503bdf48d11febe1a77f13a48c5a37435e7ec6d5f38836ce9588a9bb4e818df

Aliases

arxiv: 1109.2040 · arxiv_version: 1109.2040v1 · doi: 10.48550/arxiv.1109.2040 · pith_short_12: EUB335ENCH7L · pith_short_16: EUB335ENCH7L4GTX · pith_short_8: EUB335EN

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/EUB335ENCH7L4GTX6E5ERRNDOQ \
  | 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: 2503bdf48d11febe1a77f13a48c5a37435e7ec6d5f38836ce9588a9bb4e818df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0afca4c15189c0d2e145071641f3cd879638c50bbad6cc839c9323cc8bfab05b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-09-09T15:15:52Z",
    "title_canon_sha256": "9c6ec824bded4d36547aac9b11fadd8f866cb21ed8773594b458cbe38b10568d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2040",
    "kind": "arxiv",
    "version": 1
  }
}