Pith Number

pith:KRR6A2YE

pith:2010:KRR6A2YEREIYDPVICPTZPBNNT7

not attested not anchored not stored refs pending

Homotopy Decompositions of Looped Stiefel manifolds, and their Exponents

Piotr Beben

arxiv:1002.3858 v1 · 2010-02-20 · 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{KRR6A2YEREIYDPVICPTZPBNNT7}

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	2026-05-18T02:41:50.929264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5463e06b04891181bea813e79785ad9ff561f9500e326d8e8d4d9fad735232df

Aliases

arxiv: 1002.3858 · arxiv_version: 1002.3858v1 · doi: 10.48550/arxiv.1002.3858 · pith_short_12: KRR6A2YEREIY · pith_short_16: KRR6A2YEREIYDPVI · pith_short_8: KRR6A2YE

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/KRR6A2YEREIYDPVICPTZPBNNT7 \
  | 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: 5463e06b04891181bea813e79785ad9ff561f9500e326d8e8d4d9fad735232df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a20aa12395786691bf07296d2c278cfa60fbe573ff6601ee9edfd7e9029fe36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-02-20T08:42:02Z",
    "title_canon_sha256": "89430686c27ea15f943808dcd43d2124bcd23a5387c2f0aad21e3497bcf849aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3858",
    "kind": "arxiv",
    "version": 1
  }
}