Pith Number

pith:4Y6TJSAS

pith:2016:4Y6TJSAS4I3ZUOUHC37R3Y7FWT

not attested not anchored not stored refs pending

A modular interpretation of various cubic towers

Alp Bassa, Nurdag\"ul Anbar, Peter Beelen

arxiv:1610.05157 v1 · 2016-10-17 · math.NT · 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{4Y6TJSAS4I3ZUOUHC37R3Y7FWT}

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	2026-05-18T01:02:06.022263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e63d34c812e2379a3a8716ff1de3e5b4ce87fd8b5c5e47d051956cea513b5918

Aliases

arxiv: 1610.05157 · arxiv_version: 1610.05157v1 · doi: 10.48550/arxiv.1610.05157 · pith_short_12: 4Y6TJSAS4I3Z · pith_short_16: 4Y6TJSAS4I3ZUOUH · pith_short_8: 4Y6TJSAS

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/4Y6TJSAS4I3ZUOUHC37R3Y7FWT \
  | 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: e63d34c812e2379a3a8716ff1de3e5b4ce87fd8b5c5e47d051956cea513b5918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a4e7a475b41de4295409ee6000923ec8291f36981b0f31fbc923ba19b8e126",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-17T15:11:04Z",
    "title_canon_sha256": "0e1a6d77fc00a07acc85c3d0205a020ecd21a7021c7ba901b0b0af311173bc7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05157",
    "kind": "arxiv",
    "version": 1
  }
}