Pith Number

pith:SWSBA3U7

pith:2015:SWSBA3U7ATC3S7ADZEOPBY7HXC

not attested not anchored not stored refs pending

Equivariant class group. III. Almost principal fibrer bundles

Mitsuyasu Hashimoto

arxiv:1503.02133 v1 · 2015-03-07 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWSBA3U7ATC3S7ADZEOPBY7HXC}

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	2026-05-18T02:25:25.795268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95a4106e9f04c5b97c03c91cf0e3e7b89cc10eb5820f541de5ae2382a47e130c

Aliases

arxiv: 1503.02133 · arxiv_version: 1503.02133v1 · doi: 10.48550/arxiv.1503.02133 · pith_short_12: SWSBA3U7ATC3 · pith_short_16: SWSBA3U7ATC3S7AD · pith_short_8: SWSBA3U7

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/SWSBA3U7ATC3S7ADZEOPBY7HXC \
  | 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: 95a4106e9f04c5b97c03c91cf0e3e7b89cc10eb5820f541de5ae2382a47e130c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42682c710216433d4d9d658539f40ded835a359418bf52a5408b46d8b9b8b979",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-07T05:48:05Z",
    "title_canon_sha256": "9faf904b45cd2e63f68c457e017f54fb776d0e5278f9923f682a7ff80ceb92bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02133",
    "kind": "arxiv",
    "version": 1
  }
}