Pith Number

pith:J6CESLWU

pith:2013:J6CESLWUZ3G3WMPBF23A5TDYTN

not attested not anchored not stored refs pending

Further Results on Permutation Polynomials over Finite Fields

Cunsheng Ding, Pingzhi Yuan

arxiv:1308.5737 v1 · 2013-08-27 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6CESLWUZ3G3WMPBF23A5TDYTN}

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	2026-05-18T03:14:51.382170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f84492ed4cecdbb31e12eb60ecc789b5365267b8576b4c891b4839feeb7489b

Aliases

arxiv: 1308.5737 · arxiv_version: 1308.5737v1 · doi: 10.48550/arxiv.1308.5737 · pith_short_12: J6CESLWUZ3G3 · pith_short_16: J6CESLWUZ3G3WMPB · pith_short_8: J6CESLWU

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/J6CESLWUZ3G3WMPBF23A5TDYTN \
  | 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: 4f84492ed4cecdbb31e12eb60ecc789b5365267b8576b4c891b4839feeb7489b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "004932160c4964994a3d216f2b0397649dbe68d31dac8a47c8b7d642992cec45",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-08-27T01:56:59Z",
    "title_canon_sha256": "840b53c70cc1d5a79063c1b11b785560253dde37d393f514746ba21b6d56d93c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5737",
    "kind": "arxiv",
    "version": 1
  }
}