Pith Number

pith:G5SXCGJ7

pith:2013:G5SXCGJ75GBJ633BF375D7GKXS

not attested not anchored not stored refs pending

The equivariant $K$-theory and cobordism rings of divisive weighted projective spaces

Gareth Williams, Megumi Harada, Nigel Ray, Tara S. Holm

arxiv:1306.1641 v3 · 2013-06-07 · 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{G5SXCGJ75GBJ633BF375D7GKXS}

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	2026-05-18T02:27:49.626732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

376571193fe9829f6f612effd1fccabca5f07396bbea0e9c604f624168f91ec2

Aliases

arxiv: 1306.1641 · arxiv_version: 1306.1641v3 · doi: 10.48550/arxiv.1306.1641 · pith_short_12: G5SXCGJ75GBJ · pith_short_16: G5SXCGJ75GBJ633B · pith_short_8: G5SXCGJ7

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/G5SXCGJ75GBJ633BF375D7GKXS \
  | 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: 376571193fe9829f6f612effd1fccabca5f07396bbea0e9c604f624168f91ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a890a1bb3fdc0f00c7d3f6c328fdafc5894b50e5744fc801be206c14ed48c00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-06-07T07:44:25Z",
    "title_canon_sha256": "c36507175c123dd0ee7ff21e29252e89a38aa94c8bd126ede3a7ba59f74cff86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1641",
    "kind": "arxiv",
    "version": 3
  }
}