Pith Number

pith:D3YAETNW

pith:2022:D3YAETNWM62JAYCN2U3RBC4PU5

not attested not anchored not stored refs pending

The universal vector extension of an abeloid variety

Marco Maculan

arxiv:2212.05848 v2 · 2022-12-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3YAETNWM62JAYCN2U3RBC4PU5}

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	2026-05-20T14:03:16.180750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef0024db667b490604dd537108b8fa77d93e72d63489d6b03d041e2643986e1

Aliases

arxiv: 2212.05848 · arxiv_version: 2212.05848v2 · doi: 10.48550/arxiv.2212.05848 · pith_short_12: D3YAETNWM62J · pith_short_16: D3YAETNWM62JAYCN · pith_short_8: D3YAETNW

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/D3YAETNWM62JAYCN2U3RBC4PU5 \
  | 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: 1ef0024db667b490604dd537108b8fa77d93e72d63489d6b03d041e2643986e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba6b06f3a8a89f37a8f4734c7f0e8e9a61d68ffa5ad9bc8302e3519047b39b9a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-12-12T12:25:22Z",
    "title_canon_sha256": "6d8d891e981d7e88d1cda34c597fbae485453a6d5577e498dcc4941b69d3f817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.05848",
    "kind": "arxiv",
    "version": 2
  }
}