Pith Number

pith:TUAX7ULS

pith:2012:TUAX7ULSLHAJC4OUT6WNA4YEID

not attested not anchored not stored refs pending

Constructing homologically trivial actions on products of spheres

Ergun Yalcin, Ozgun Unlu

arxiv:1203.5882 v1 · 2012-03-27 · 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{TUAX7ULSLHAJC4OUT6WNA4YEID}

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	2026-05-18T03:59:13.168248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d017fd17259c09171d49facd0730440d1700990b1341088a6ce5b71353e1e8a

Aliases

arxiv: 1203.5882 · arxiv_version: 1203.5882v1 · doi: 10.48550/arxiv.1203.5882 · pith_short_12: TUAX7ULSLHAJ · pith_short_16: TUAX7ULSLHAJC4OU · pith_short_8: TUAX7ULS

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/TUAX7ULSLHAJC4OUT6WNA4YEID \
  | 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: 9d017fd17259c09171d49facd0730440d1700990b1341088a6ce5b71353e1e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a12e1a5d24934bc8a8229a11c95b2e1ac034c220e8a47ef6f4aaec71bf14919",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-03-27T07:15:19Z",
    "title_canon_sha256": "f83f95d2c0debce4d8394823a160f99d603686dfb485616ea4c29fc4a4bfb2cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5882",
    "kind": "arxiv",
    "version": 1
  }
}