Pith Number

pith:RMDZ2SDV

pith:2016:RMDZ2SDVXR5ZWLSLT4QIERKH3S

not attested not anchored not stored refs pending

Orientability and fundamental classes of Alexandrov spaces with applications

Ayato Mitsuishi

arxiv:1610.08024 v2 · 2016-10-25 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMDZ2SDVXR5ZWLSLT4QIERKH3S}

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	2026-05-18T01:01:15.210528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b079d4875bc7b9b2e4b9f20824547dc805f5a3db44fd37e4bca84f75af72819

Aliases

arxiv: 1610.08024 · arxiv_version: 1610.08024v2 · doi: 10.48550/arxiv.1610.08024 · pith_short_12: RMDZ2SDVXR5Z · pith_short_16: RMDZ2SDVXR5ZWLSL · pith_short_8: RMDZ2SDV

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/RMDZ2SDVXR5ZWLSLT4QIERKH3S \
  | 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: 8b079d4875bc7b9b2e4b9f20824547dc805f5a3db44fd37e4bca84f75af72819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b79fede29d7dfb24cf29f571a29b87f79b7467488785a5ead7b9ef7dd09247",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-10-25T19:14:24Z",
    "title_canon_sha256": "754749bd4dc41de2f45956c1dd0cac6f530b599f708697543f97ac20841b4647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08024",
    "kind": "arxiv",
    "version": 2
  }
}