Pith Number

pith:AKR3CK6K

pith:2019:AKR3CK6KEJSOT7VINODIXIZBZN

not attested not anchored not stored refs pending

Flat manifolds and reducibility

Andrzej Derdzinski, Paolo Piccione

arxiv:1903.10479 v2 · 2019-03-25 · 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{AKR3CK6KEJSOT7VINODIXIZBZN}

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	2026-05-17T23:39:39.675837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02a3b12bca2264e9fea86b868ba321cb6d560f970fc84c655b8622e22c813d0e

Aliases

arxiv: 1903.10479 · arxiv_version: 1903.10479v2 · doi: 10.48550/arxiv.1903.10479 · pith_short_12: AKR3CK6KEJSO · pith_short_16: AKR3CK6KEJSOT7VI · pith_short_8: AKR3CK6K

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/AKR3CK6KEJSOT7VINODIXIZBZN \
  | 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: 02a3b12bca2264e9fea86b868ba321cb6d560f970fc84c655b8622e22c813d0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f458257a41013f6c92c167fff0e3d02b6db6257a8245daa5afcaae7f33c3dfb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-25T17:27:26Z",
    "title_canon_sha256": "e522c4c2e94cfb311d5e26c0033602d95d0a2304eb0739e2b80fe1ec2288a8f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10479",
    "kind": "arxiv",
    "version": 2
  }
}