Pith Number

pith:VTIX3HFE

pith:2012:VTIX3HFEKORDG3UYTQUCJILTYN

not attested not anchored not stored refs pending

A note on rational and elliptic curves associated with the cuboid factor equations

Ruslan Sharipov

arxiv:1209.5706 v1 · 2012-09-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTIX3HFEKORDG3UYTQUCJILTYN}

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	2026-05-18T03:44:47.751655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acd17d9ca453a2336e989c2824a173c366473d84761052de6b57e23b41080cb2

Aliases

arxiv: 1209.5706 · arxiv_version: 1209.5706v1 · doi: 10.48550/arxiv.1209.5706 · pith_short_12: VTIX3HFEKORD · pith_short_16: VTIX3HFEKORDG3UY · pith_short_8: VTIX3HFE

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/VTIX3HFEKORDG3UYTQUCJILTYN \
  | 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: acd17d9ca453a2336e989c2824a173c366473d84761052de6b57e23b41080cb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1fb7bc36c734f6bf4b65be0e4c381b079796845891a5d744d02a30082328496",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-25T18:05:06Z",
    "title_canon_sha256": "130803af586bf60ee489fa5b5467cce173583870a23326f821a69982fc66e126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5706",
    "kind": "arxiv",
    "version": 1
  }
}