Pith Number

pith:2GKIDVV2

pith:2022:2GKIDVV27IDWQQUEWCM4AXQFCU

not attested not anchored not stored refs pending

Universality for low degree factors of random polynomials over finite fields

Huy Tuan Pham, Jimmy He, Max Wenqiang Xu

arxiv:2201.06156 v2 · 2022-01-16 · math.PR · math.CO · 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{2GKIDVV27IDWQQUEWCM4AXQFCU}

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	2026-07-05T04:54:50.299860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d19481d6bafa07684284b099c05e05150367a9c7842f80a7c6c95d7f787bb7fe

Aliases

arxiv: 2201.06156 · arxiv_version: 2201.06156v2 · doi: 10.48550/arxiv.2201.06156 · pith_short_12: 2GKIDVV27IDW · pith_short_16: 2GKIDVV27IDWQQUE · pith_short_8: 2GKIDVV2

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/2GKIDVV27IDWQQUEWCM4AXQFCU \
  | 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: d19481d6bafa07684284b099c05e05150367a9c7842f80a7c6c95d7f787bb7fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17e9bbce1b9b77a56ce9fce197862bf6bea82b44fa55ecee4c695614d3e75548",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-01-16T23:33:19Z",
    "title_canon_sha256": "34eed1a9ea55aab0762f14324a97accbd378f5ad241b0959665125f900169efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.06156",
    "kind": "arxiv",
    "version": 2
  }
}