Pith Number

pith:CINBWBER

pith:2013:CINBWBERUZOXWYZOEOEXQXJ7NU

not attested not anchored not stored refs pending

Algebraic proofs of some fundamental theorems in algebraic $K$-theory

Tom Harris

arxiv:1311.5162 v1 · 2013-11-20 · 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{CINBWBERUZOXWYZOEOEXQXJ7NU}

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	2026-05-18T03:06:35.265178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

121a1b0491a65d7b632e2389785d3f6d39a6f075caf30f285cda7559deaa6fc1

Aliases

arxiv: 1311.5162 · arxiv_version: 1311.5162v1 · doi: 10.48550/arxiv.1311.5162 · pith_short_12: CINBWBERUZOX · pith_short_16: CINBWBERUZOXWYZO · pith_short_8: CINBWBER

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/CINBWBERUZOXWYZOEOEXQXJ7NU \
  | 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: 121a1b0491a65d7b632e2389785d3f6d39a6f075caf30f285cda7559deaa6fc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a4ed43ff7b7645cd8a90f5d1d5aec3049494780ffa02e0081d6a6365ebd2595",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-11-20T18:24:23Z",
    "title_canon_sha256": "a61c262a6123cc77185dd148846ac03a17c92866f51f4ac52c73f197c1ac5f99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5162",
    "kind": "arxiv",
    "version": 1
  }
}