Pith Number

pith:GVLFBFVA

pith:2013:GVLFBFVAOABMKUG4U5OAS56HCJ

not attested not anchored not stored refs pending

Functional Graphs of Polynomials over Finite Fields

Bernard Mans, Florian Luca, Igor E. Shparlinski, Luke Mathieson, Min Sha, Sergei V. Konyagin

arxiv:1307.2718 v3 · 2013-07-10 · math.NT · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVLFBFVAOABMKUG4U5OAS56HCJ}

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	2026-05-18T02:03:38.210889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35565096a07002c550dca75c0977c7127ec11af07d03a2245050ea43c9c1f133

Aliases

arxiv: 1307.2718 · arxiv_version: 1307.2718v3 · doi: 10.48550/arxiv.1307.2718 · pith_short_12: GVLFBFVAOABM · pith_short_16: GVLFBFVAOABMKUG4 · pith_short_8: GVLFBFVA

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/GVLFBFVAOABMKUG4U5OAS56HCJ \
  | 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: 35565096a07002c550dca75c0977c7127ec11af07d03a2245050ea43c9c1f133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a1e3a954b9a83063285c4b7299e26bc23feba2898ecbccc93d1f53cb23304d1",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-10T09:01:24Z",
    "title_canon_sha256": "6b7855536dfeb452d9c7a1a999212c8ced868a3f002b9dc9b7d4a5e6e81a1e5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2718",
    "kind": "arxiv",
    "version": 3
  }
}