Pith Number

pith:RROASV6S

pith:2018:RROASV6SGXA6R6F2NMUH4OCRZZ

not attested not anchored not stored refs pending

Spin structures and the divisibility of Euler classes

Yukio Kametani

arxiv:1809.04045 v1 · 2018-09-11 · math.GT · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RROASV6SGXA6R6F2NMUH4OCRZZ}

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	2026-05-18T00:05:57.455602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c5c0957d235c1e8f8ba6b287e3851ce5bb707cc331240b7585bf30de4fba033

Aliases

arxiv: 1809.04045 · arxiv_version: 1809.04045v1 · doi: 10.48550/arxiv.1809.04045 · pith_short_12: RROASV6SGXA6 · pith_short_16: RROASV6SGXA6R6F2 · pith_short_8: RROASV6S

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/RROASV6SGXA6R6F2NMUH4OCRZZ \
  | 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: 8c5c0957d235c1e8f8ba6b287e3851ce5bb707cc331240b7585bf30de4fba033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0a990927978b0f0613d99a9ab13876aa2c02b5603d888f959ace8868e02188f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-09-11T17:28:54Z",
    "title_canon_sha256": "c967aace07608773e1d59f501bfb941488e0301f6ab34eb0ed5b1e7353cffdc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04045",
    "kind": "arxiv",
    "version": 1
  }
}