Pith Number

pith:3KRAV5RA

pith:2011:3KRAV5RATQZUYXYVXD72GJ2ZPX

not attested not anchored not stored refs pending

Special curves of 4d galilean space

Alper Osman \"O\u{g}renm\.i\c{s}, Mahmut Erg\"ut, Mehmet Bekta\c{s}

arxiv:1111.0419 v1 · 2011-11-02 · 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{3KRAV5RATQZUYXYVXD72GJ2ZPX}

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	2026-05-18T04:09:44.997248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa20af6209c334c5f15b8ffa327597dd210ac14e0e7a7291b7be6bed7168c51

Aliases

arxiv: 1111.0419 · arxiv_version: 1111.0419v1 · doi: 10.48550/arxiv.1111.0419 · pith_short_12: 3KRAV5RATQZU · pith_short_16: 3KRAV5RATQZUYXYV · pith_short_8: 3KRAV5RA

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/3KRAV5RATQZUYXYVXD72GJ2ZPX \
  | 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: daa20af6209c334c5f15b8ffa327597dd210ac14e0e7a7291b7be6bed7168c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4a8e86e86a3acfe95d6d3429c7c74b9aa2a59a3e30a6721bf3dbb9a3658dd5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-02T08:30:38Z",
    "title_canon_sha256": "1f44befeeeeaed230a9868853a174e991c30f4fc56060aea1e77524469f1b49e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0419",
    "kind": "arxiv",
    "version": 1
  }
}