Pith Number

pith:EMCBKCXK

pith:2015:EMCBKCXKGJF755AXVVVPJDMWZZ

not attested not anchored not stored refs pending

Reductions Modulo Primes of Systems of Polynomial Equations and Algebraic Dynamical Systems

Alina Ostafe, Carlos D'Andrea, Igor E. Shparlinski, Martin Sombra

arxiv:1505.05814 v2 · 2015-05-21 · math.NT · math.AC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMCBKCXKGJF755AXVVVPJDMWZZ}

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	2026-05-18T00:45:30.720861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2304150aea324bfef417ad6af48d96ce6e962afb6f4e3df66fcd7b9b385c60aa

Aliases

arxiv: 1505.05814 · arxiv_version: 1505.05814v2 · doi: 10.48550/arxiv.1505.05814 · pith_short_12: EMCBKCXKGJF7 · pith_short_16: EMCBKCXKGJF755AX · pith_short_8: EMCBKCXK

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/EMCBKCXKGJF755AXVVVPJDMWZZ \
  | 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: 2304150aea324bfef417ad6af48d96ce6e962afb6f4e3df66fcd7b9b385c60aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f04a799cd183821678fc2ea95da1faa4e0a93ca49d3b1d0f36fb8d21060ee83a",
    "cross_cats_sorted": [
      "math.AC",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-21T18:08:29Z",
    "title_canon_sha256": "6375d0c33544ef66fb43173a197779725d2b1f8cf9fc14643e829405a4bf9c60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05814",
    "kind": "arxiv",
    "version": 2
  }
}