Pith Number

pith:4MVNINMR

pith:2012:4MVNINMRKPAJEKPJFXGOKECKIO

not attested not anchored not stored refs pending

Algebraic Independence in Positive Characteristic -- A p-Adic Calculus

Johannes Mittmann, Nitin Saxena, Peter Scheiblechner

arxiv:1202.4301 v1 · 2012-02-20 · cs.CC · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MVNINMRKPAJEKPJFXGOKECKIO}

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	2026-05-18T04:01:51.831574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e32ad4359153c09229e92dcce5104a4395e4032dd9bc5366d1a81ffd97ff3663

Aliases

arxiv: 1202.4301 · arxiv_version: 1202.4301v1 · doi: 10.48550/arxiv.1202.4301 · pith_short_12: 4MVNINMRKPAJ · pith_short_16: 4MVNINMRKPAJEKPJ · pith_short_8: 4MVNINMR

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/4MVNINMRKPAJEKPJFXGOKECKIO \
  | 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: e32ad4359153c09229e92dcce5104a4395e4032dd9bc5366d1a81ffd97ff3663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f766506872472ca2f686390478deeffe47c1a11c7e2395c944ef37e181a2fadf",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-02-20T12:25:20Z",
    "title_canon_sha256": "6cffca4b338bb68e527c8e59900a4e59a030bdadf0693643d80daed73c4bfb23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4301",
    "kind": "arxiv",
    "version": 1
  }
}