Pith Number

pith:TRNZIW5K

pith:2014:TRNZIW5KJILPDU6BGNJZ3N5ACU

not attested not anchored not stored refs pending

On localization sequences in the algebraic K-theory of ring spectra

Benjamin Antieau, David Gepner, Tobias Barthel

arxiv:1412.4041 v2 · 2014-12-12 · math.KT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRNZIW5KJILPDU6BGNJZ3N5ACU}

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	2026-05-18T00:40:19.876072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c5b945baa4a16f1d3c133539db7a01524d984017e2df6ac042ca67c22898aa5

Aliases

arxiv: 1412.4041 · arxiv_version: 1412.4041v2 · doi: 10.48550/arxiv.1412.4041 · pith_short_12: TRNZIW5KJILP · pith_short_16: TRNZIW5KJILPDU6B · pith_short_8: TRNZIW5K

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/TRNZIW5KJILPDU6BGNJZ3N5ACU \
  | 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: 9c5b945baa4a16f1d3c133539db7a01524d984017e2df6ac042ca67c22898aa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "782862201062a16f31f57ade38b9e45c9efb9495c32ed01acf18ea08b16f6299",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-12-12T16:30:35Z",
    "title_canon_sha256": "00d742277fa116ad55e31719a2bab75a2770133a46d03f5da5ddd37e2ff91a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4041",
    "kind": "arxiv",
    "version": 2
  }
}