Pith Number

pith:4P7E6HQK

pith:2013:4P7E6HQKN5CJLKABTWXE2Q27E6

not attested not anchored not stored refs pending

Hilbert's Tenth Problem over Function Fields of Positive Characteristic Not Containing the Algebraic Closure of a Finite Field

Alexandra Shlapentokh, Kirsten Eisentraeger

arxiv:1306.2669 v1 · 2013-06-11 · math.NT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4P7E6HQKN5CJLKABTWXE2Q27E6}

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	2026-05-18T03:21:09.804873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3fe4f1e0a6f4495a8019dae4d435f27a4e30a7e2aef8f44b06c930c8f6ffc17

Aliases

arxiv: 1306.2669 · arxiv_version: 1306.2669v1 · doi: 10.48550/arxiv.1306.2669 · pith_short_12: 4P7E6HQKN5CJ · pith_short_16: 4P7E6HQKN5CJLKAB · pith_short_8: 4P7E6HQK

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/4P7E6HQKN5CJLKABTWXE2Q27E6 \
  | 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: e3fe4f1e0a6f4495a8019dae4d435f27a4e30a7e2aef8f44b06c930c8f6ffc17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92aecfb0e701e100a5d2c1c268b2d70dfcb4d82eed7ac7666175bd223150b769",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-11T22:09:21Z",
    "title_canon_sha256": "8673cc6ad9a7afa1d1e307571af39b7d89c2ae2f8763bb6263d032ae3f384a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2669",
    "kind": "arxiv",
    "version": 1
  }
}