Pith Number

pith:QYM6XIVD

pith:2007:QYM6XIVDGSRAIQNXK5BAY74JKW

not attested not anchored not stored refs pending

Equivariant stable stems for prime order groups

Markus Szymik

arxiv:0712.3123 v1 · 2007-12-19 · 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{QYM6XIVDGSRAIQNXK5BAY74JKW}

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	2026-05-18T04:11:18.176195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8619eba2a334a20441b757420c7f8955b188a52fd66a868c663e6673bca9509d

Aliases

arxiv: 0712.3123 · arxiv_version: 0712.3123v1 · doi: 10.48550/arxiv.0712.3123 · pith_short_12: QYM6XIVDGSRA · pith_short_16: QYM6XIVDGSRAIQNX · pith_short_8: QYM6XIVD

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/QYM6XIVDGSRAIQNXK5BAY74JKW \
  | 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: 8619eba2a334a20441b757420c7f8955b188a52fd66a868c663e6673bca9509d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cf871d38449c418adbde624166309c7dfcdebfaa81313ba11813cd87d0eb253",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-12-19T08:58:48Z",
    "title_canon_sha256": "a19252e3526b3ce09246a52f6e50e10f1d2e5daa0f7c5f40f09a8ad7cd0b1cad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3123",
    "kind": "arxiv",
    "version": 1
  }
}