Pith Number

pith:5KQKJUQG

pith:2015:5KQKJUQGSVIMGDVBVWD2WTRD32

not attested not anchored not stored refs pending

Symmetric spectra model global homotopy theory of finite groups

Markus Hausmann

arxiv:1509.09270 v1 · 2015-09-30 · 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{5KQKJUQGSVIMGDVBVWD2WTRD32}

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	2026-05-17T23:45:00.492134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaa0a4d2069550c30ea1ad87ab4e23dea371d5c5e0da68c5166d57b787b306ed

Aliases

arxiv: 1509.09270 · arxiv_version: 1509.09270v1 · doi: 10.48550/arxiv.1509.09270 · pith_short_12: 5KQKJUQGSVIM · pith_short_16: 5KQKJUQGSVIMGDVB · pith_short_8: 5KQKJUQG

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/5KQKJUQGSVIMGDVBVWD2WTRD32 \
  | 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: eaa0a4d2069550c30ea1ad87ab4e23dea371d5c5e0da68c5166d57b787b306ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f96b262db677159943d51d36a164446a13cf25a05c439ca07c87ed2279a6bda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-09-30T17:46:54Z",
    "title_canon_sha256": "2a1997a0ad46575277fa8fba373c50b6776e3957a87b16a0ca6c2ef966be729f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09270",
    "kind": "arxiv",
    "version": 1
  }
}