Pith Number

pith:LEPW3PVM

pith:2011:LEPW3PVMOVDLJGRPE4GJ4F4RHW

not attested not anchored not stored refs pending

Spectra of units for periodic ring spectra and group completion of graded E-infinity spaces

Steffen Sagave

arxiv:1111.6731 v3 · 2011-11-29 · 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{LEPW3PVMOVDLJGRPE4GJ4F4RHW}

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	2026-05-18T01:15:47.380822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591f6dbeac7546b49a2f270c9e17913d944aea8a11776186e0b9a4287eb33374

Aliases

arxiv: 1111.6731 · arxiv_version: 1111.6731v3 · doi: 10.48550/arxiv.1111.6731 · pith_short_12: LEPW3PVMOVDL · pith_short_16: LEPW3PVMOVDLJGRP · pith_short_8: LEPW3PVM

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/LEPW3PVMOVDLJGRPE4GJ4F4RHW \
  | 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: 591f6dbeac7546b49a2f270c9e17913d944aea8a11776186e0b9a4287eb33374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd79e276eab6898feaa2e7e7ec7c95148817881740a03d0c3ac989e40f449550",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-29T08:57:50Z",
    "title_canon_sha256": "226de5958dd276116730495892859e417016a3a0c491f934788364ec300ac6ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6731",
    "kind": "arxiv",
    "version": 3
  }
}