Pith Number

pith:OC4NYDF6

pith:2019:OC4NYDF6MJJ4JR7AR47C62AWFV

not attested not anchored not stored refs pending

Functions with isotropic sections

Christos Saroglou, Ioannis Purnaras

arxiv:1906.10439 v2 · 2019-06-25 · 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{OC4NYDF6MJJ4JR7AR47C62AWFV}

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	2026-05-17T23:39:39.318672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70b8dc0cbe6253c4c7e08f3e2f68162d6e67d176f0bc6b5c72b91123a70ad319

Aliases

arxiv: 1906.10439 · arxiv_version: 1906.10439v2 · doi: 10.48550/arxiv.1906.10439 · pith_short_12: OC4NYDF6MJJ4 · pith_short_16: OC4NYDF6MJJ4JR7A · pith_short_8: OC4NYDF6

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/OC4NYDF6MJJ4JR7AR47C62AWFV \
  | 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: 70b8dc0cbe6253c4c7e08f3e2f68162d6e67d176f0bc6b5c72b91123a70ad319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10467559a69d63851133feee7b289b2724116bfd088beb768cb7ee54b504a233",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-06-25T10:30:07Z",
    "title_canon_sha256": "33c7e4f1397f1db0361da2835e4367834ce8485a3e256e93b02606716d3784ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10439",
    "kind": "arxiv",
    "version": 2
  }
}