Pith Number

pith:3CXPDSHO

pith:2015:3CXPDSHOOWLTMIRTLQ54JUYLDU

not attested not anchored not stored refs pending

Loop near-rings and unique decompositions of H-spaces

Damir Franeti\v{c}, Petar Pave\v{s}i\'c

arxiv:1511.06168 v5 · 2015-11-19 · 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{3CXPDSHOOWLTMIRTLQ54JUYLDU}

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	2026-05-18T00:54:20.693385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8aef1c8ee75973622335c3bc4d30b1d1668d7d0ea04d5987774d904b1c3ae8d

Aliases

arxiv: 1511.06168 · arxiv_version: 1511.06168v5 · doi: 10.48550/arxiv.1511.06168 · pith_short_12: 3CXPDSHOOWLT · pith_short_16: 3CXPDSHOOWLTMIRT · pith_short_8: 3CXPDSHO

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/3CXPDSHOOWLTMIRTLQ54JUYLDU \
  | 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: d8aef1c8ee75973622335c3bc4d30b1d1668d7d0ea04d5987774d904b1c3ae8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "668553415e629b8b96bfadb43837a105ec8f4fcad940543538eb4f8219d63bac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-19T13:52:42Z",
    "title_canon_sha256": "cdd38288afe3fb260e64a8ddfab978ca316d02caa966239fa8918a838214ce78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06168",
    "kind": "arxiv",
    "version": 5
  }
}