Pith Number

pith:QKQMCI7E

pith:2016:QKQMCI7ELNCRGNNDO7QCMB5PV5

not attested not anchored not stored refs pending

Local duality for structured ring spectra

Drew Heard, Gabriel Valenzuela, Tobias Barthel

arxiv:1608.03135 v2 · 2016-08-10 · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKQMCI7ELNCRGNNDO7QCMB5PV5}

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	2026-05-18T00:44:24.510670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82a0c123e45b451335a377e02607afaf750fd4d6bf8b81a489b2be78b757d622

Aliases

arxiv: 1608.03135 · arxiv_version: 1608.03135v2 · doi: 10.48550/arxiv.1608.03135 · pith_short_12: QKQMCI7ELNCR · pith_short_16: QKQMCI7ELNCRGNND · pith_short_8: QKQMCI7E

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/QKQMCI7ELNCRGNNDO7QCMB5PV5 \
  | 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: 82a0c123e45b451335a377e02607afaf750fd4d6bf8b81a489b2be78b757d622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cda973df07a1172ec11163213ac4057453593e493f5429dcecd9016aea4d838",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-08-10T11:33:34Z",
    "title_canon_sha256": "ebb88fbdd59204f06a0371b792fc32b23ff179f390c2d0159e53c8251e0ef327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03135",
    "kind": "arxiv",
    "version": 2
  }
}