Pith Number

pith:VC4X5C5O

pith:2011:VC4X5C5ODEKFLBN32HQE6XPMEL

not attested not anchored not stored refs pending

Single-factor lifting and factorization of polynomials over local fields

E. Nart, J. Gu\`ardia, S. Pauli

arxiv:1104.3181 v1 · 2011-04-16 · 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{VC4X5C5ODEKFLBN32HQE6XPMEL}

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	2026-05-18T02:22:02.799209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b97e8bae19145585bbd1e04f5dec22c3ef9e26d2bc469916538c96096988ce

Aliases

arxiv: 1104.3181 · arxiv_version: 1104.3181v1 · doi: 10.48550/arxiv.1104.3181 · pith_short_12: VC4X5C5ODEKF · pith_short_16: VC4X5C5ODEKFLBN3 · pith_short_8: VC4X5C5O

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/VC4X5C5ODEKFLBN32HQE6XPMEL \
  | 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: a8b97e8bae19145585bbd1e04f5dec22c3ef9e26d2bc469916538c96096988ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d03aaffe94a7b271ae24adb2dff6be571a54bafa2e9901a7150b78df75cac0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-16T00:27:02Z",
    "title_canon_sha256": "213789c77d310176bd498d95716368ac58f9c8669768fc4635a106dafd251663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3181",
    "kind": "arxiv",
    "version": 1
  }
}