Pith Number

pith:K2S5SEOK

pith:2020:K2S5SEOKR3CGCVTGNMVEB3FDA4

not attested not anchored not stored refs pending

Irreducibility of random polynomials of bounded degree

Huy Tuan Pham, Max Wenqiang Xu

arxiv:2002.10554 v2 · 2020-02-24 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2S5SEOKR3CGCVTGNMVEB3FDA4}

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	2026-07-05T02:59:01.881033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56a5d911ca8ec46156666b2a40eca3072487adb4b6c686e42d8068735c5b54cd

Aliases

arxiv: 2002.10554 · arxiv_version: 2002.10554v2 · doi: 10.48550/arxiv.2002.10554 · pith_short_12: K2S5SEOKR3CG · pith_short_16: K2S5SEOKR3CGCVTG · pith_short_8: K2S5SEOK

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/K2S5SEOKR3CGCVTGNMVEB3FDA4 \
  | 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: 56a5d911ca8ec46156666b2a40eca3072487adb4b6c686e42d8068735c5b54cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f0468c640ab35c5124d8d88b9b274deda62cf93eecfc61f8877c7b74ac638ce",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-02-24T21:34:59Z",
    "title_canon_sha256": "3b49fafc17b4bcaac2d58efea0144a0476ce99fb0c1fbb1fe75b443163a08cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.10554",
    "kind": "arxiv",
    "version": 2
  }
}