Pith Number

pith:YRCWI5CJ

pith:2011:YRCWI5CJ4XJHL2L4S6MHUJKRSP

not attested not anchored not stored refs pending

Rational torus-equivariant stable homotopy theory II: the algebra of the standard model

J.P.C.Greenlees

arxiv:1108.4868 v1 · 2011-08-24 · 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{YRCWI5CJ4XJHL2L4S6MHUJKRSP}

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	2026-05-18T04:14:46.614017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c445647449e5d275e97c97987a255193d9af94de2043d077a1dbbe83767047be

Aliases

arxiv: 1108.4868 · arxiv_version: 1108.4868v1 · doi: 10.48550/arxiv.1108.4868 · pith_short_12: YRCWI5CJ4XJH · pith_short_16: YRCWI5CJ4XJHL2L4 · pith_short_8: YRCWI5CJ

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/YRCWI5CJ4XJHL2L4S6MHUJKRSP \
  | 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: c445647449e5d275e97c97987a255193d9af94de2043d077a1dbbe83767047be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "278215522863a91924a8e65ec9301d71aaa6a682bb637eb617a68536dea814ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-08-24T15:55:32Z",
    "title_canon_sha256": "303ae1beabc60b0e90d2948b7327af932fc2f65c8267d9a5afb8c55194176996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4868",
    "kind": "arxiv",
    "version": 1
  }
}