Pith Number

pith:MUJ6CH7O

pith:2012:MUJ6CH7OBXC5H3MFMDIDZ3NFLF

not attested not anchored not stored refs pending

Linearized polynomials over finite fields revisited

Baofeng Wu, Zhuojun Liu

arxiv:1211.5475 v2 · 2012-11-23 · 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{MUJ6CH7OBXC5H3MFMDIDZ3NFLF}

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	2026-05-18T03:37:28.758776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6513e11fee0dc5d3ed8560d03ceda559622861337e3876240126475e0cc4de85

Aliases

arxiv: 1211.5475 · arxiv_version: 1211.5475v2 · doi: 10.48550/arxiv.1211.5475 · pith_short_12: MUJ6CH7OBXC5 · pith_short_16: MUJ6CH7OBXC5H3MF · pith_short_8: MUJ6CH7O

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/MUJ6CH7OBXC5H3MFMDIDZ3NFLF \
  | 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: 6513e11fee0dc5d3ed8560d03ceda559622861337e3876240126475e0cc4de85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9706dde1f744f1c8f7d1298de2c42f5e02e264c114172a3b106520dafcb6405a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-11-23T11:36:32Z",
    "title_canon_sha256": "2164eb9cfd46f77a8aa2fb9c4219fb43b476a93d40a1b85bdc8293bcab104f6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5475",
    "kind": "arxiv",
    "version": 2
  }
}