Pith Number

pith:QV5RPKU2

pith:2018:QV5RPKU27WS5PFOJXZIJYEZH6O

not attested not anchored not stored refs pending

Topological Quillen localization of structured ring spectra

John E. Harper, Yu Zhang

arxiv:1811.06535 v3 · 2018-11-15 · 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{QV5RPKU27WS5PFOJXZIJYEZH6O}

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	2026-05-17T23:41:01.063303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

857b17aa9afda5d795c9be509c1327f3b7ac9306fc6a589c02532c2601874e7e

Aliases

arxiv: 1811.06535 · arxiv_version: 1811.06535v3 · doi: 10.48550/arxiv.1811.06535 · pith_short_12: QV5RPKU27WS5 · pith_short_16: QV5RPKU27WS5PFOJ · pith_short_8: QV5RPKU2

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/QV5RPKU27WS5PFOJXZIJYEZH6O \
  | 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: 857b17aa9afda5d795c9be509c1327f3b7ac9306fc6a589c02532c2601874e7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2865634b726f7b977aa3191fee6ffe92d98bbfe695cbdd5ef3e55efa773aadd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-11-15T18:58:08Z",
    "title_canon_sha256": "0757833aee16e3c16b3c4adadbcd30fce110fcf2f6f35ed45c5eda66b06d9cff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06535",
    "kind": "arxiv",
    "version": 3
  }
}