Pith Number

pith:UFHHLNYZ

pith:2009:UFHHLNYZPVNAPDJGUMVBITG5SS

not attested not anchored not stored refs pending

Detection of some elements in the stable homotopy groups of spheres

Xiugui Liu

arxiv:0911.1344 v1 · 2009-11-06 · 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{UFHHLNYZPVNAPDJGUMVBITG5SS}

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	2026-05-18T04:41:35.882526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a14e75b7197d5a078d26a32a144cdd94b0477ca1246f37f19ed49c3d76452419

Aliases

arxiv: 0911.1344 · arxiv_version: 0911.1344v1 · doi: 10.48550/arxiv.0911.1344 · pith_short_12: UFHHLNYZPVNA · pith_short_16: UFHHLNYZPVNAPDJG · pith_short_8: UFHHLNYZ

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/UFHHLNYZPVNAPDJGUMVBITG5SS \
  | 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: a14e75b7197d5a078d26a32a144cdd94b0477ca1246f37f19ed49c3d76452419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed49c1fac06b5a1e9a5f9abf02e6c6a7bf9c4e7686ca5a75232196f54e8d8f00",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-11-06T20:24:09Z",
    "title_canon_sha256": "2d6463e66f068144d0da4a72f3c28743f92485ded16d6944c21b567264041beb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1344",
    "kind": "arxiv",
    "version": 1
  }
}