Pith Number

pith:2ETAG4LX

pith:2006:2ETAG4LXASMI6HYG4ZTPB64AQG

not attested not anchored not stored refs pending

The algebra of secondary homotopy operations in ring spectra

Fernando Muro, Hans-Joachim Baues

arxiv:math/0610523 v3 · 2006-10-17 · 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{2ETAG4LXASMI6HYG4ZTPB64AQG}

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	2026-05-18T04:21:12.585879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d12603717704988f1f06e666f0fb8081a3b322daf8c32d8d5f2d0880e41b7b7a

Aliases

arxiv: math/0610523 · arxiv_version: math/0610523v3 · doi: 10.48550/arxiv.math/0610523 · pith_short_12: 2ETAG4LXASMI · pith_short_16: 2ETAG4LXASMI6HYG · pith_short_8: 2ETAG4LX

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/2ETAG4LXASMI6HYG4ZTPB64AQG \
  | 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: d12603717704988f1f06e666f0fb8081a3b322daf8c32d8d5f2d0880e41b7b7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c96550e056cf0fa682e377b3c7ce43419f5b53924741e173a10d2b286f764693",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-10-17T14:19:35Z",
    "title_canon_sha256": "880cf15ad33a7e951bc9671ba301bbb58715ea7681301638396ca6c1df549d66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610523",
    "kind": "arxiv",
    "version": 3
  }
}