Pith Number

pith:XMT3IFRB

pith:2021:XMT3IFRBLO6NLQZAVL5JZBE5B4

not attested not anchored not stored refs pending

On a factorization result of \c{S}tef\u{a}nescu

Jitender Singh, Sanjeev Kumar

arxiv:2112.12079 v1 · 2021-12-19 · math.NT · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMT3IFRBLO6NLQZAVL5JZBE5B4}

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	2026-07-05T06:04:49.103356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb27b416215bbcd5c320aafa9c849d0f20292bb3ba65e49c01995741e14bc418

Aliases

arxiv: 2112.12079 · arxiv_version: 2112.12079v1 · doi: 10.48550/arxiv.2112.12079 · pith_short_12: XMT3IFRBLO6N · pith_short_16: XMT3IFRBLO6NLQZA · pith_short_8: XMT3IFRB

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/XMT3IFRBLO6NLQZAVL5JZBE5B4 \
  | 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: bb27b416215bbcd5c320aafa9c849d0f20292bb3ba65e49c01995741e14bc418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6d16708749c980cb976f9febcb6358824f860ea4936a196281546a081de1bac",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-12-19T06:56:52Z",
    "title_canon_sha256": "8705740c9757c91619c3d52bb3ebe618dc4f6bc8e5dccad797653e12d4b107ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12079",
    "kind": "arxiv",
    "version": 1
  }
}