Pith Number

pith:TB73C4NP

pith:2013:TB73C4NP6PUXFHJDNVR4P2MCXT

not attested not anchored not stored refs pending

Constructing permutation polynomials over finite fields

Shaofang Hong, Xiaoer Qin

arxiv:1303.2229 v2 · 2013-03-09 · 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{TB73C4NP6PUXFHJDNVR4P2MCXT}

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	2026-05-17T23:53:17.777192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

987fb171aff3e9729d236d63c7e982bcee6a4c074172460b244f3c0319acc491

Aliases

arxiv: 1303.2229 · arxiv_version: 1303.2229v2 · doi: 10.48550/arxiv.1303.2229 · pith_short_12: TB73C4NP6PUX · pith_short_16: TB73C4NP6PUXFHJD · pith_short_8: TB73C4NP

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/TB73C4NP6PUXFHJDNVR4P2MCXT \
  | 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: 987fb171aff3e9729d236d63c7e982bcee6a4c074172460b244f3c0319acc491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a5a39e38e8d65104558e4c0e522b5b2da1a34a09e0ecf10bc79bda685b41958",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-09T16:22:21Z",
    "title_canon_sha256": "7e9db7e2195f0015d5a2cdd9039b0df194ea2eead3849e6587058addcb4aea6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2229",
    "kind": "arxiv",
    "version": 2
  }
}