Pith Number

pith:UJ6QQZY2

pith:2013:UJ6QQZY2I63UNMOVLRIK4BSAMQ

not attested not anchored not stored refs pending

Motivic Hopf elements and relations

Daniel C. Isaksen, Daniel Dugger

arxiv:1307.6596 v2 · 2013-07-24 · 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{UJ6QQZY2I63UNMOVLRIK4BSAMQ}

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	2026-05-18T03:17:33.600125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a27d08671a47b746b1d55c50ae0640642d57571c55b69d4b0fa3cf972d69b2b2

Aliases

arxiv: 1307.6596 · arxiv_version: 1307.6596v2 · doi: 10.48550/arxiv.1307.6596 · pith_short_12: UJ6QQZY2I63U · pith_short_16: UJ6QQZY2I63UNMOV · pith_short_8: UJ6QQZY2

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/UJ6QQZY2I63UNMOVLRIK4BSAMQ \
  | 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: a27d08671a47b746b1d55c50ae0640642d57571c55b69d4b0fa3cf972d69b2b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14a2ab94c7177a093654a60888987002d2e8155544b78a00a3359374a19f69bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-07-24T21:47:31Z",
    "title_canon_sha256": "1583dc951500114c05419a0347e3310899580822d2b27440e1a2e149622c87d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6596",
    "kind": "arxiv",
    "version": 2
  }
}